Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators

In this research study, we establish some necessary conditions to check the uniqueness-existence of solutions for a general multi-term <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semanti...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Shahram Rezapour [verfasserIn] Sina Etemad [verfasserIn] Brahim Tellab [verfasserIn] Praveen Agarwal [verfasserIn] Juan Luis Garcia Guirao [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	ADM numerical method DGJIM numerical method boundary value problem existence

Übergeordnetes Werk:	In: Symmetry - MDPI AG, 2009, 13(2021), 4, p 532
Übergeordnetes Werk:	volume:13 ; year:2021 ; number:4, p 532

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/sym13040532

Katalog-ID:	DOAJ030371112

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allfields	10.3390/sym13040532 doi (DE-627)DOAJ030371112 (DE-599)DOAJaeafff8f0924408480ddf56a4c5c7d89 DE-627 ger DE-627 rakwb eng QA1-939 Shahram Rezapour verfasserin aut Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this research study, we establish some necessary conditions to check the uniqueness-existence of solutions for a general multi-term <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-fractional differential equation via generalized <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral boundary conditions with respect to the generalized asymmetric operators. To arrive at such purpose, we utilize a procedure based on the fixed-point theory. We follow our study by suggesting two numerical algorithms called the Dafterdar-Gejji and Jafari method (DGJIM) and the Adomian decomposition method (ADM) techniques in which a series of approximate solutions converge to the exact ones of the given <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP and the equivalent <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral equation. To emphasize for the compatibility and the effectiveness of these numerical algorithms, we end this investigation by providing some examples showing the behavior of the exact solution of the existing <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP compared with the approximate ones caused by DGJIM and ADM techniques graphically. ADM numerical method DGJIM numerical method boundary value problem existence Mathematics Sina Etemad verfasserin aut Brahim Tellab verfasserin aut Praveen Agarwal verfasserin aut Juan Luis Garcia Guirao verfasserin aut In Symmetry MDPI AG, 2009 13(2021), 4, p 532 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:13 year:2021 number:4, p 532 https://doi.org/10.3390/sym13040532 kostenfrei https://doaj.org/article/aeafff8f0924408480ddf56a4c5c7d89 kostenfrei https://www.mdpi.com/2073-8994/13/4/532 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 13 2021 4, p 532
spelling	10.3390/sym13040532 doi (DE-627)DOAJ030371112 (DE-599)DOAJaeafff8f0924408480ddf56a4c5c7d89 DE-627 ger DE-627 rakwb eng QA1-939 Shahram Rezapour verfasserin aut Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this research study, we establish some necessary conditions to check the uniqueness-existence of solutions for a general multi-term <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-fractional differential equation via generalized <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral boundary conditions with respect to the generalized asymmetric operators. To arrive at such purpose, we utilize a procedure based on the fixed-point theory. We follow our study by suggesting two numerical algorithms called the Dafterdar-Gejji and Jafari method (DGJIM) and the Adomian decomposition method (ADM) techniques in which a series of approximate solutions converge to the exact ones of the given <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP and the equivalent <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral equation. To emphasize for the compatibility and the effectiveness of these numerical algorithms, we end this investigation by providing some examples showing the behavior of the exact solution of the existing <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP compared with the approximate ones caused by DGJIM and ADM techniques graphically. ADM numerical method DGJIM numerical method boundary value problem existence Mathematics Sina Etemad verfasserin aut Brahim Tellab verfasserin aut Praveen Agarwal verfasserin aut Juan Luis Garcia Guirao verfasserin aut In Symmetry MDPI AG, 2009 13(2021), 4, p 532 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:13 year:2021 number:4, p 532 https://doi.org/10.3390/sym13040532 kostenfrei https://doaj.org/article/aeafff8f0924408480ddf56a4c5c7d89 kostenfrei https://www.mdpi.com/2073-8994/13/4/532 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 13 2021 4, p 532
allfields_unstemmed	10.3390/sym13040532 doi (DE-627)DOAJ030371112 (DE-599)DOAJaeafff8f0924408480ddf56a4c5c7d89 DE-627 ger DE-627 rakwb eng QA1-939 Shahram Rezapour verfasserin aut Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this research study, we establish some necessary conditions to check the uniqueness-existence of solutions for a general multi-term <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-fractional differential equation via generalized <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral boundary conditions with respect to the generalized asymmetric operators. To arrive at such purpose, we utilize a procedure based on the fixed-point theory. We follow our study by suggesting two numerical algorithms called the Dafterdar-Gejji and Jafari method (DGJIM) and the Adomian decomposition method (ADM) techniques in which a series of approximate solutions converge to the exact ones of the given <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP and the equivalent <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral equation. To emphasize for the compatibility and the effectiveness of these numerical algorithms, we end this investigation by providing some examples showing the behavior of the exact solution of the existing <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP compared with the approximate ones caused by DGJIM and ADM techniques graphically. ADM numerical method DGJIM numerical method boundary value problem existence Mathematics Sina Etemad verfasserin aut Brahim Tellab verfasserin aut Praveen Agarwal verfasserin aut Juan Luis Garcia Guirao verfasserin aut In Symmetry MDPI AG, 2009 13(2021), 4, p 532 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:13 year:2021 number:4, p 532 https://doi.org/10.3390/sym13040532 kostenfrei https://doaj.org/article/aeafff8f0924408480ddf56a4c5c7d89 kostenfrei https://www.mdpi.com/2073-8994/13/4/532 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 13 2021 4, p 532
allfieldsGer	10.3390/sym13040532 doi (DE-627)DOAJ030371112 (DE-599)DOAJaeafff8f0924408480ddf56a4c5c7d89 DE-627 ger DE-627 rakwb eng QA1-939 Shahram Rezapour verfasserin aut Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this research study, we establish some necessary conditions to check the uniqueness-existence of solutions for a general multi-term <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-fractional differential equation via generalized <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral boundary conditions with respect to the generalized asymmetric operators. To arrive at such purpose, we utilize a procedure based on the fixed-point theory. We follow our study by suggesting two numerical algorithms called the Dafterdar-Gejji and Jafari method (DGJIM) and the Adomian decomposition method (ADM) techniques in which a series of approximate solutions converge to the exact ones of the given <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP and the equivalent <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral equation. To emphasize for the compatibility and the effectiveness of these numerical algorithms, we end this investigation by providing some examples showing the behavior of the exact solution of the existing <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP compared with the approximate ones caused by DGJIM and ADM techniques graphically. ADM numerical method DGJIM numerical method boundary value problem existence Mathematics Sina Etemad verfasserin aut Brahim Tellab verfasserin aut Praveen Agarwal verfasserin aut Juan Luis Garcia Guirao verfasserin aut In Symmetry MDPI AG, 2009 13(2021), 4, p 532 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:13 year:2021 number:4, p 532 https://doi.org/10.3390/sym13040532 kostenfrei https://doaj.org/article/aeafff8f0924408480ddf56a4c5c7d89 kostenfrei https://www.mdpi.com/2073-8994/13/4/532 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 13 2021 4, p 532
allfieldsSound	10.3390/sym13040532 doi (DE-627)DOAJ030371112 (DE-599)DOAJaeafff8f0924408480ddf56a4c5c7d89 DE-627 ger DE-627 rakwb eng QA1-939 Shahram Rezapour verfasserin aut Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this research study, we establish some necessary conditions to check the uniqueness-existence of solutions for a general multi-term <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-fractional differential equation via generalized <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral boundary conditions with respect to the generalized asymmetric operators. To arrive at such purpose, we utilize a procedure based on the fixed-point theory. We follow our study by suggesting two numerical algorithms called the Dafterdar-Gejji and Jafari method (DGJIM) and the Adomian decomposition method (ADM) techniques in which a series of approximate solutions converge to the exact ones of the given <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP and the equivalent <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral equation. To emphasize for the compatibility and the effectiveness of these numerical algorithms, we end this investigation by providing some examples showing the behavior of the exact solution of the existing <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP compared with the approximate ones caused by DGJIM and ADM techniques graphically. ADM numerical method DGJIM numerical method boundary value problem existence Mathematics Sina Etemad verfasserin aut Brahim Tellab verfasserin aut Praveen Agarwal verfasserin aut Juan Luis Garcia Guirao verfasserin aut In Symmetry MDPI AG, 2009 13(2021), 4, p 532 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:13 year:2021 number:4, p 532 https://doi.org/10.3390/sym13040532 kostenfrei https://doaj.org/article/aeafff8f0924408480ddf56a4c5c7d89 kostenfrei https://www.mdpi.com/2073-8994/13/4/532 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 13 2021 4, p 532
language	English
source	In Symmetry 13(2021), 4, p 532 volume:13 year:2021 number:4, p 532
sourceStr	In Symmetry 13(2021), 4, p 532 volume:13 year:2021 number:4, p 532
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authorswithroles_txt_mv	Shahram Rezapour @@aut@@ Sina Etemad @@aut@@ Brahim Tellab @@aut@@ Praveen Agarwal @@aut@@ Juan Luis Garcia Guirao @@aut@@
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author	Shahram Rezapour
spellingShingle	Shahram Rezapour misc QA1-939 misc ADM numerical method misc DGJIM numerical method misc boundary value problem misc existence misc Mathematics Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators
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topic_title	QA1-939 Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators ADM numerical method DGJIM numerical method boundary value problem existence
topic	misc QA1-939 misc ADM numerical method misc DGJIM numerical method misc boundary value problem misc existence misc Mathematics
topic_unstemmed	misc QA1-939 misc ADM numerical method misc DGJIM numerical method misc boundary value problem misc existence misc Mathematics
topic_browse	misc QA1-939 misc ADM numerical method misc DGJIM numerical method misc boundary value problem misc existence misc Mathematics
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators
ctrlnum	(DE-627)DOAJ030371112 (DE-599)DOAJaeafff8f0924408480ddf56a4c5c7d89
title_full	Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators
author_sort	Shahram Rezapour
journal	Symmetry
journalStr	Symmetry
callnumber-first-code	Q
lang_code	eng
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publishDateSort	2021
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author_browse	Shahram Rezapour Sina Etemad Brahim Tellab Praveen Agarwal Juan Luis Garcia Guirao
container_volume	13
class	QA1-939
format_se	Elektronische Aufsätze
author-letter	Shahram Rezapour
doi_str_mv	10.3390/sym13040532
author2-role	verfasserin
title_sort	numerical solutions caused by dgjim and adm methods for multi-term fractional bvp involving the generalized <i<ψ</i<-rl-operators
callnumber	QA1-939
title_auth	Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators
abstract	In this research study, we establish some necessary conditions to check the uniqueness-existence of solutions for a general multi-term <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-fractional differential equation via generalized <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral boundary conditions with respect to the generalized asymmetric operators. To arrive at such purpose, we utilize a procedure based on the fixed-point theory. We follow our study by suggesting two numerical algorithms called the Dafterdar-Gejji and Jafari method (DGJIM) and the Adomian decomposition method (ADM) techniques in which a series of approximate solutions converge to the exact ones of the given <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP and the equivalent <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral equation. To emphasize for the compatibility and the effectiveness of these numerical algorithms, we end this investigation by providing some examples showing the behavior of the exact solution of the existing <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP compared with the approximate ones caused by DGJIM and ADM techniques graphically.
abstractGer	In this research study, we establish some necessary conditions to check the uniqueness-existence of solutions for a general multi-term <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-fractional differential equation via generalized <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral boundary conditions with respect to the generalized asymmetric operators. To arrive at such purpose, we utilize a procedure based on the fixed-point theory. We follow our study by suggesting two numerical algorithms called the Dafterdar-Gejji and Jafari method (DGJIM) and the Adomian decomposition method (ADM) techniques in which a series of approximate solutions converge to the exact ones of the given <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP and the equivalent <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral equation. To emphasize for the compatibility and the effectiveness of these numerical algorithms, we end this investigation by providing some examples showing the behavior of the exact solution of the existing <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP compared with the approximate ones caused by DGJIM and ADM techniques graphically.
abstract_unstemmed	In this research study, we establish some necessary conditions to check the uniqueness-existence of solutions for a general multi-term <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-fractional differential equation via generalized <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral boundary conditions with respect to the generalized asymmetric operators. To arrive at such purpose, we utilize a procedure based on the fixed-point theory. We follow our study by suggesting two numerical algorithms called the Dafterdar-Gejji and Jafari method (DGJIM) and the Adomian decomposition method (ADM) techniques in which a series of approximate solutions converge to the exact ones of the given <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP and the equivalent <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-integral equation. To emphasize for the compatibility and the effectiveness of these numerical algorithms, we end this investigation by providing some examples showing the behavior of the exact solution of the existing <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi<ψ</mi<</semantics<</math<</inline-formula<-RLFBVP compared with the approximate ones caused by DGJIM and ADM techniques graphically.
collection_details	GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700
container_issue	4, p 532
title_short	Numerical Solutions Caused by DGJIM and ADM Methods for Multi-Term Fractional BVP Involving the Generalized <i<ψ</i<-RL-Operators
url	https://doi.org/10.3390/sym13040532 https://doaj.org/article/aeafff8f0924408480ddf56a4c5c7d89 https://www.mdpi.com/2073-8994/13/4/532 https://doaj.org/toc/2073-8994
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author2	Sina Etemad Brahim Tellab Praveen Agarwal Juan Luis Garcia Guirao
author2Str	Sina Etemad Brahim Tellab Praveen Agarwal Juan Luis Garcia Guirao
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doi_str	10.3390/sym13040532
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up_date	2024-07-03T14:36:36.486Z
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