A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method

In this paper, we propose the numerical method for positive solutions to the m-point boundary value problems of fractional differential equations with p-Laplacian operator and prove the convergence for our scheme. The operational matrix of fractional integration, based on the accurate calculation of...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Jong, KumSong [verfasserIn] Choi, HuiChol [verfasserIn] Jang, KyongJun [verfasserIn] Pak, SunAe [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	Fractional differential equation Multi-point boundary value problem Haar wavelet operational matrix Collocation method Fixed point iterative method

Übergeordnetes Werk:	Enthalten in: Applied numerical mathematics - Amsterdam [u.a.] : Elsevier, 1985, 160, Seite 313-330
Übergeordnetes Werk:	volume:160 ; pages:313-330

DOI / URN:	10.1016/j.apnum.2020.10.019

Katalog-ID:	ELV004931645

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245	1	0	\|a A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method
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520			\|a In this paper, we propose the numerical method for positive solutions to the m-point boundary value problems of fractional differential equations with p-Laplacian operator and prove the convergence for our scheme. The operational matrix of fractional integration, based on the accurate calculation of fractional integrals of Haar wavelet functions, is combined with the collocation method and the fixed point iterative method to introduce the function approximation and obtain the approximate solution to the given problem. Also, we present some numerical examples to illustrate our main results.
650		4	\|a Fractional differential equation
650		4	\|a Multi-point boundary value problem
650		4	\|a Haar wavelet operational matrix
650		4	\|a Collocation method
650		4	\|a Fixed point iterative method
700	1		\|a Choi, HuiChol \|e verfasserin \|4 aut
700	1		\|a Jang, KyongJun \|e verfasserin \|4 aut
700	1		\|a Pak, SunAe \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Applied numerical mathematics \|d Amsterdam [u.a.] : Elsevier, 1985 \|g 160, Seite 313-330 \|h Online-Ressource \|w (DE-627)266888879 \|w (DE-600)1468770-7 \|w (DE-576)075962314 \|7 nnns
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allfields	10.1016/j.apnum.2020.10.019 doi (DE-627)ELV004931645 (ELSEVIER)S0168-9274(20)30326-3 DE-627 ger DE-627 rda eng 510 DE-600 31.76 bkl Jong, KumSong verfasserin (orcid)0000-0001-7366-7963 aut A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we propose the numerical method for positive solutions to the m-point boundary value problems of fractional differential equations with p-Laplacian operator and prove the convergence for our scheme. The operational matrix of fractional integration, based on the accurate calculation of fractional integrals of Haar wavelet functions, is combined with the collocation method and the fixed point iterative method to introduce the function approximation and obtain the approximate solution to the given problem. Also, we present some numerical examples to illustrate our main results. Fractional differential equation Multi-point boundary value problem Haar wavelet operational matrix Collocation method Fixed point iterative method Choi, HuiChol verfasserin aut Jang, KyongJun verfasserin aut Pak, SunAe verfasserin aut Enthalten in Applied numerical mathematics Amsterdam [u.a.] : Elsevier, 1985 160, Seite 313-330 Online-Ressource (DE-627)266888879 (DE-600)1468770-7 (DE-576)075962314 nnns volume:160 pages:313-330 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.76 Numerische Mathematik AR 160 313-330
spelling	10.1016/j.apnum.2020.10.019 doi (DE-627)ELV004931645 (ELSEVIER)S0168-9274(20)30326-3 DE-627 ger DE-627 rda eng 510 DE-600 31.76 bkl Jong, KumSong verfasserin (orcid)0000-0001-7366-7963 aut A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we propose the numerical method for positive solutions to the m-point boundary value problems of fractional differential equations with p-Laplacian operator and prove the convergence for our scheme. The operational matrix of fractional integration, based on the accurate calculation of fractional integrals of Haar wavelet functions, is combined with the collocation method and the fixed point iterative method to introduce the function approximation and obtain the approximate solution to the given problem. Also, we present some numerical examples to illustrate our main results. Fractional differential equation Multi-point boundary value problem Haar wavelet operational matrix Collocation method Fixed point iterative method Choi, HuiChol verfasserin aut Jang, KyongJun verfasserin aut Pak, SunAe verfasserin aut Enthalten in Applied numerical mathematics Amsterdam [u.a.] : Elsevier, 1985 160, Seite 313-330 Online-Ressource (DE-627)266888879 (DE-600)1468770-7 (DE-576)075962314 nnns volume:160 pages:313-330 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.76 Numerische Mathematik AR 160 313-330
allfields_unstemmed	10.1016/j.apnum.2020.10.019 doi (DE-627)ELV004931645 (ELSEVIER)S0168-9274(20)30326-3 DE-627 ger DE-627 rda eng 510 DE-600 31.76 bkl Jong, KumSong verfasserin (orcid)0000-0001-7366-7963 aut A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we propose the numerical method for positive solutions to the m-point boundary value problems of fractional differential equations with p-Laplacian operator and prove the convergence for our scheme. The operational matrix of fractional integration, based on the accurate calculation of fractional integrals of Haar wavelet functions, is combined with the collocation method and the fixed point iterative method to introduce the function approximation and obtain the approximate solution to the given problem. Also, we present some numerical examples to illustrate our main results. Fractional differential equation Multi-point boundary value problem Haar wavelet operational matrix Collocation method Fixed point iterative method Choi, HuiChol verfasserin aut Jang, KyongJun verfasserin aut Pak, SunAe verfasserin aut Enthalten in Applied numerical mathematics Amsterdam [u.a.] : Elsevier, 1985 160, Seite 313-330 Online-Ressource (DE-627)266888879 (DE-600)1468770-7 (DE-576)075962314 nnns volume:160 pages:313-330 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.76 Numerische Mathematik AR 160 313-330
allfieldsGer	10.1016/j.apnum.2020.10.019 doi (DE-627)ELV004931645 (ELSEVIER)S0168-9274(20)30326-3 DE-627 ger DE-627 rda eng 510 DE-600 31.76 bkl Jong, KumSong verfasserin (orcid)0000-0001-7366-7963 aut A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we propose the numerical method for positive solutions to the m-point boundary value problems of fractional differential equations with p-Laplacian operator and prove the convergence for our scheme. The operational matrix of fractional integration, based on the accurate calculation of fractional integrals of Haar wavelet functions, is combined with the collocation method and the fixed point iterative method to introduce the function approximation and obtain the approximate solution to the given problem. Also, we present some numerical examples to illustrate our main results. Fractional differential equation Multi-point boundary value problem Haar wavelet operational matrix Collocation method Fixed point iterative method Choi, HuiChol verfasserin aut Jang, KyongJun verfasserin aut Pak, SunAe verfasserin aut Enthalten in Applied numerical mathematics Amsterdam [u.a.] : Elsevier, 1985 160, Seite 313-330 Online-Ressource (DE-627)266888879 (DE-600)1468770-7 (DE-576)075962314 nnns volume:160 pages:313-330 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.76 Numerische Mathematik AR 160 313-330
allfieldsSound	10.1016/j.apnum.2020.10.019 doi (DE-627)ELV004931645 (ELSEVIER)S0168-9274(20)30326-3 DE-627 ger DE-627 rda eng 510 DE-600 31.76 bkl Jong, KumSong verfasserin (orcid)0000-0001-7366-7963 aut A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we propose the numerical method for positive solutions to the m-point boundary value problems of fractional differential equations with p-Laplacian operator and prove the convergence for our scheme. The operational matrix of fractional integration, based on the accurate calculation of fractional integrals of Haar wavelet functions, is combined with the collocation method and the fixed point iterative method to introduce the function approximation and obtain the approximate solution to the given problem. Also, we present some numerical examples to illustrate our main results. Fractional differential equation Multi-point boundary value problem Haar wavelet operational matrix Collocation method Fixed point iterative method Choi, HuiChol verfasserin aut Jang, KyongJun verfasserin aut Pak, SunAe verfasserin aut Enthalten in Applied numerical mathematics Amsterdam [u.a.] : Elsevier, 1985 160, Seite 313-330 Online-Ressource (DE-627)266888879 (DE-600)1468770-7 (DE-576)075962314 nnns volume:160 pages:313-330 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.76 Numerische Mathematik AR 160 313-330
language	English
source	Enthalten in Applied numerical mathematics 160, Seite 313-330 volume:160 pages:313-330
sourceStr	Enthalten in Applied numerical mathematics 160, Seite 313-330 volume:160 pages:313-330
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bklname	Numerische Mathematik
institution	findex.gbv.de
topic_facet	Fractional differential equation Multi-point boundary value problem Haar wavelet operational matrix Collocation method Fixed point iterative method
dewey-raw	510
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container_title	Applied numerical mathematics
authorswithroles_txt_mv	Jong, KumSong @@aut@@ Choi, HuiChol @@aut@@ Jang, KyongJun @@aut@@ Pak, SunAe @@aut@@
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author	Jong, KumSong
spellingShingle	Jong, KumSong ddc 510 bkl 31.76 misc Fractional differential equation misc Multi-point boundary value problem misc Haar wavelet operational matrix misc Collocation method misc Fixed point iterative method A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method
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topic_title	510 DE-600 31.76 bkl A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method Fractional differential equation Multi-point boundary value problem Haar wavelet operational matrix Collocation method Fixed point iterative method
topic	ddc 510 bkl 31.76 misc Fractional differential equation misc Multi-point boundary value problem misc Haar wavelet operational matrix misc Collocation method misc Fixed point iterative method
topic_unstemmed	ddc 510 bkl 31.76 misc Fractional differential equation misc Multi-point boundary value problem misc Haar wavelet operational matrix misc Collocation method misc Fixed point iterative method
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title	A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method
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title_full	A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method
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title_sort	a new approach for solving one-dimensional fractional boundary value problems via haar wavelet collocation method
title_auth	A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method
abstract	In this paper, we propose the numerical method for positive solutions to the m-point boundary value problems of fractional differential equations with p-Laplacian operator and prove the convergence for our scheme. The operational matrix of fractional integration, based on the accurate calculation of fractional integrals of Haar wavelet functions, is combined with the collocation method and the fixed point iterative method to introduce the function approximation and obtain the approximate solution to the given problem. Also, we present some numerical examples to illustrate our main results.
abstractGer	In this paper, we propose the numerical method for positive solutions to the m-point boundary value problems of fractional differential equations with p-Laplacian operator and prove the convergence for our scheme. The operational matrix of fractional integration, based on the accurate calculation of fractional integrals of Haar wavelet functions, is combined with the collocation method and the fixed point iterative method to introduce the function approximation and obtain the approximate solution to the given problem. Also, we present some numerical examples to illustrate our main results.
abstract_unstemmed	In this paper, we propose the numerical method for positive solutions to the m-point boundary value problems of fractional differential equations with p-Laplacian operator and prove the convergence for our scheme. The operational matrix of fractional integration, based on the accurate calculation of fractional integrals of Haar wavelet functions, is combined with the collocation method and the fixed point iterative method to introduce the function approximation and obtain the approximate solution to the given problem. Also, we present some numerical examples to illustrate our main results.
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title_short	A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method
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up_date	2024-07-07T00:37:20.691Z
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The operational matrix of fractional integration, based on the accurate calculation of fractional integrals of Haar wavelet functions, is combined with the collocation method and the fixed point iterative method to introduce the function approximation and obtain the approximate solution to the given problem. Also, we present some numerical examples to illustrate our main results.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractional differential equation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Multi-point boundary value problem</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Haar wavelet operational matrix</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Collocation method</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fixed point iterative method</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Choi, HuiChol</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jang, KyongJun</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" 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A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method

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