$Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method$

Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method

In this paper, the reproducing kernel Hilbert space method had been extended to model a numerical solution with two-point temporal boundary conditions for the fractional derivative in the Caputo sense, convergent analysis and error bounds are discussed to verify the theoretical results. Numerical ex...

Full description

Bibliographic Details
Main Authors:	Yassamine Chellouf, Banan Maayah, Shaher Momani, Ahmad Alawneh, Salam Alnabulsi
Format:	Article
Language:	English
Published:	AIMS Press 2021-01-01
Series:	AIMS Mathematics
Subjects:	reproducing kernel hilbert space method (rkhsm) fractional differential equations temporal two-point boundary value problems numerical method approximate solution
Online Access:	http://www.aimspress.com/article/doi/10.3934/math.2021207?viewType=HTML

id	doaj-20f1599fcfa34cc189af9bbdc11e708a
record_format	Article
spelling	doaj-20f1599fcfa34cc189af9bbdc11e708a2021-02-01T02:26:46ZengAIMS PressAIMS Mathematics2473-69882021-01-01643465348510.3934/math.2021207Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space methodYassamine Chellouf0Banan Maayah1Shaher Momani 2Ahmad Alawneh3Salam Alnabulsi41. Department of Mathematics, Faculty of Science, The university of Jordan, Amman 11942, Jordan1. Department of Mathematics, Faculty of Science, The university of Jordan, Amman 11942, Jordan1. Department of Mathematics, Faculty of Science, The university of Jordan, Amman 11942, Jordan 2. Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE1. Department of Mathematics, Faculty of Science, The university of Jordan, Amman 11942, Jordan1. Department of Mathematics, Faculty of Science, The university of Jordan, Amman 11942, JordanIn this paper, the reproducing kernel Hilbert space method had been extended to model a numerical solution with two-point temporal boundary conditions for the fractional derivative in the Caputo sense, convergent analysis and error bounds are discussed to verify the theoretical results. Numerical examples are given to illustrate the accuracy and efficiency of the presented approach.http://www.aimspress.com/article/doi/10.3934/math.2021207?viewType=HTMLreproducing kernel hilbert space method (rkhsm)fractional differential equationstemporal two-point boundary value problemsnumerical methodapproximate solution
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yassamine Chellouf Banan Maayah Shaher Momani Ahmad Alawneh Salam Alnabulsi
spellingShingle	Yassamine Chellouf Banan Maayah Shaher Momani Ahmad Alawneh Salam Alnabulsi Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method AIMS Mathematics reproducing kernel hilbert space method (rkhsm) fractional differential equations temporal two-point boundary value problems numerical method approximate solution
author_facet	Yassamine Chellouf Banan Maayah Shaher Momani Ahmad Alawneh Salam Alnabulsi
author_sort	Yassamine Chellouf
title	Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method
title_short	Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method
title_full	Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method
title_fullStr	Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method
title_full_unstemmed	Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method
title_sort	numerical solution of fractional differential equations with temporal two-point bvps using reproducing kernal hilbert space method
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2021-01-01
description	In this paper, the reproducing kernel Hilbert space method had been extended to model a numerical solution with two-point temporal boundary conditions for the fractional derivative in the Caputo sense, convergent analysis and error bounds are discussed to verify the theoretical results. Numerical examples are given to illustrate the accuracy and efficiency of the presented approach.
topic	reproducing kernel hilbert space method (rkhsm) fractional differential equations temporal two-point boundary value problems numerical method approximate solution
url	http://www.aimspress.com/article/doi/10.3934/math.2021207?viewType=HTML
work_keys_str_mv	AT yassaminechellouf numericalsolutionoffractionaldifferentialequationswithtemporaltwopointbvpsusingreproducingkernalhilbertspacemethod AT bananmaayah numericalsolutionoffractionaldifferentialequationswithtemporaltwopointbvpsusingreproducingkernalhilbertspacemethod AT shahermomani numericalsolutionoffractionaldifferentialequationswithtemporaltwopointbvpsusingreproducingkernalhilbertspacemethod AT ahmadalawneh numericalsolutionoffractionaldifferentialequationswithtemporaltwopointbvpsusingreproducingkernalhilbertspacemethod AT salamalnabulsi numericalsolutionoffractionaldifferentialequationswithtemporaltwopointbvpsusingreproducingkernalhilbertspacemethod
_version_	1724315834857291776

Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method

Similar Items