Hybrid of block-pulse functions and generalized Mott polynomials and their applications in solving delay fractional optimal control problems
Abstract We give the hybrid of block-pulse function and generalized Mott polynomials (HBGMP) and use it to solve delay fractional optimal control problems (DFOCPs). First, we develop a method for computing the exact formula of the Riemann–Liouville fractional integral operator of the HBGMP by using...
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| Autor*in: |
Rabiei, Kobra [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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© The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 111(2022), 7 vom: 27. Dez., Seite 6469-6486 |
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volume:111 ; year:2022 ; number:7 ; day:27 ; month:12 ; pages:6469-6486 |
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| DOI / URN: |
10.1007/s11071-022-08177-w |
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| 520 | |a Abstract We give the hybrid of block-pulse function and generalized Mott polynomials (HBGMP) and use it to solve delay fractional optimal control problems (DFOCPs). First, we develop a method for computing the exact formula of the Riemann–Liouville fractional integral operator of the HBGMP by using the regularized beta function. Next, the DFOCPs will be transformed into parameter optimization problems. By imposing the optimality conditions, we reduce the problem to algebraic equations. Several examples are given to show the advantages of the method. | ||
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10.1007/s11071-022-08177-w doi (DE-627)OLC2134347384 (DE-He213)s11071-022-08177-w-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Rabiei, Kobra verfasserin aut Hybrid of block-pulse functions and generalized Mott polynomials and their applications in solving delay fractional optimal control problems 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract We give the hybrid of block-pulse function and generalized Mott polynomials (HBGMP) and use it to solve delay fractional optimal control problems (DFOCPs). First, we develop a method for computing the exact formula of the Riemann–Liouville fractional integral operator of the HBGMP by using the regularized beta function. Next, the DFOCPs will be transformed into parameter optimization problems. By imposing the optimality conditions, we reduce the problem to algebraic equations. Several examples are given to show the advantages of the method. Delay fractional optimal control problem Beta function Generalized Mott polynomials Razzaghi, Mohsen (orcid)0000-0002-2189-0802 aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2022), 7 vom: 27. Dez., Seite 6469-6486 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2022 number:7 day:27 month:12 pages:6469-6486 https://doi.org/10.1007/s11071-022-08177-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2022 7 27 12 6469-6486 |
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10.1007/s11071-022-08177-w doi (DE-627)OLC2134347384 (DE-He213)s11071-022-08177-w-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Rabiei, Kobra verfasserin aut Hybrid of block-pulse functions and generalized Mott polynomials and their applications in solving delay fractional optimal control problems 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract We give the hybrid of block-pulse function and generalized Mott polynomials (HBGMP) and use it to solve delay fractional optimal control problems (DFOCPs). First, we develop a method for computing the exact formula of the Riemann–Liouville fractional integral operator of the HBGMP by using the regularized beta function. Next, the DFOCPs will be transformed into parameter optimization problems. By imposing the optimality conditions, we reduce the problem to algebraic equations. Several examples are given to show the advantages of the method. Delay fractional optimal control problem Beta function Generalized Mott polynomials Razzaghi, Mohsen (orcid)0000-0002-2189-0802 aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2022), 7 vom: 27. Dez., Seite 6469-6486 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2022 number:7 day:27 month:12 pages:6469-6486 https://doi.org/10.1007/s11071-022-08177-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2022 7 27 12 6469-6486 |
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10.1007/s11071-022-08177-w doi (DE-627)OLC2134347384 (DE-He213)s11071-022-08177-w-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Rabiei, Kobra verfasserin aut Hybrid of block-pulse functions and generalized Mott polynomials and their applications in solving delay fractional optimal control problems 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract We give the hybrid of block-pulse function and generalized Mott polynomials (HBGMP) and use it to solve delay fractional optimal control problems (DFOCPs). First, we develop a method for computing the exact formula of the Riemann–Liouville fractional integral operator of the HBGMP by using the regularized beta function. Next, the DFOCPs will be transformed into parameter optimization problems. By imposing the optimality conditions, we reduce the problem to algebraic equations. Several examples are given to show the advantages of the method. Delay fractional optimal control problem Beta function Generalized Mott polynomials Razzaghi, Mohsen (orcid)0000-0002-2189-0802 aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2022), 7 vom: 27. Dez., Seite 6469-6486 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2022 number:7 day:27 month:12 pages:6469-6486 https://doi.org/10.1007/s11071-022-08177-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2022 7 27 12 6469-6486 |
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10.1007/s11071-022-08177-w doi (DE-627)OLC2134347384 (DE-He213)s11071-022-08177-w-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Rabiei, Kobra verfasserin aut Hybrid of block-pulse functions and generalized Mott polynomials and their applications in solving delay fractional optimal control problems 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract We give the hybrid of block-pulse function and generalized Mott polynomials (HBGMP) and use it to solve delay fractional optimal control problems (DFOCPs). First, we develop a method for computing the exact formula of the Riemann–Liouville fractional integral operator of the HBGMP by using the regularized beta function. Next, the DFOCPs will be transformed into parameter optimization problems. By imposing the optimality conditions, we reduce the problem to algebraic equations. Several examples are given to show the advantages of the method. Delay fractional optimal control problem Beta function Generalized Mott polynomials Razzaghi, Mohsen (orcid)0000-0002-2189-0802 aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2022), 7 vom: 27. Dez., Seite 6469-6486 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2022 number:7 day:27 month:12 pages:6469-6486 https://doi.org/10.1007/s11071-022-08177-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2022 7 27 12 6469-6486 |
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10.1007/s11071-022-08177-w doi (DE-627)OLC2134347384 (DE-He213)s11071-022-08177-w-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Rabiei, Kobra verfasserin aut Hybrid of block-pulse functions and generalized Mott polynomials and their applications in solving delay fractional optimal control problems 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract We give the hybrid of block-pulse function and generalized Mott polynomials (HBGMP) and use it to solve delay fractional optimal control problems (DFOCPs). First, we develop a method for computing the exact formula of the Riemann–Liouville fractional integral operator of the HBGMP by using the regularized beta function. Next, the DFOCPs will be transformed into parameter optimization problems. By imposing the optimality conditions, we reduce the problem to algebraic equations. Several examples are given to show the advantages of the method. Delay fractional optimal control problem Beta function Generalized Mott polynomials Razzaghi, Mohsen (orcid)0000-0002-2189-0802 aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2022), 7 vom: 27. Dez., Seite 6469-6486 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2022 number:7 day:27 month:12 pages:6469-6486 https://doi.org/10.1007/s11071-022-08177-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2022 7 27 12 6469-6486 |
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Hybrid of block-pulse functions and generalized Mott polynomials and their applications in solving delay fractional optimal control problems |
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Abstract We give the hybrid of block-pulse function and generalized Mott polynomials (HBGMP) and use it to solve delay fractional optimal control problems (DFOCPs). First, we develop a method for computing the exact formula of the Riemann–Liouville fractional integral operator of the HBGMP by using the regularized beta function. Next, the DFOCPs will be transformed into parameter optimization problems. By imposing the optimality conditions, we reduce the problem to algebraic equations. Several examples are given to show the advantages of the method. © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstractGer |
Abstract We give the hybrid of block-pulse function and generalized Mott polynomials (HBGMP) and use it to solve delay fractional optimal control problems (DFOCPs). First, we develop a method for computing the exact formula of the Riemann–Liouville fractional integral operator of the HBGMP by using the regularized beta function. Next, the DFOCPs will be transformed into parameter optimization problems. By imposing the optimality conditions, we reduce the problem to algebraic equations. Several examples are given to show the advantages of the method. © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Abstract We give the hybrid of block-pulse function and generalized Mott polynomials (HBGMP) and use it to solve delay fractional optimal control problems (DFOCPs). First, we develop a method for computing the exact formula of the Riemann–Liouville fractional integral operator of the HBGMP by using the regularized beta function. Next, the DFOCPs will be transformed into parameter optimization problems. By imposing the optimality conditions, we reduce the problem to algebraic equations. Several examples are given to show the advantages of the method. © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Hybrid of block-pulse functions and generalized Mott polynomials and their applications in solving delay fractional optimal control problems |
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