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

Yassamine Chellouf; Banan Maayah; Shaher Momani; Ahmad Alawneh; Salam Alnabulsi

doi:10.3934/math.2021207

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

Yassamine Chellouf
, Banan Maayah
, Shaher Momani
, Ahmad Alawneh
, Salam Alnabulsi

Nonlinear Dynamic Research Centre (NDRC)

University of Jordan

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	3465-3485
Number of pages	21
Journal	AIMS Mathematics
Volume	6
Issue number	4
DOIs	https://doi.org/10.3934/math.2021207
State	Published - 2021

Keywords

Approximate solution
Fractional differential equations
Numerical method
Reproducing kernel Hilbert space method (RKHSM)
Temporal two-point boundary value problems

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10.3934/math.2021207

Cite this

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title = "Numerical solution of fractional differential equations with temporal two-point bvps using reproducing kernal Hilbert space method",

abstract = "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.",

keywords = "Approximate solution, Fractional differential equations, Numerical method, Reproducing kernel Hilbert space method (RKHSM), Temporal two-point boundary value problems",

author = "Yassamine Chellouf and Banan Maayah and Shaher Momani and Ahmad Alawneh and Salam Alnabulsi",

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AU - Chellouf, Yassamine

AU - Maayah, Banan

AU - Momani, Shaher

AU - Alawneh, Ahmad

AU - Alnabulsi, Salam

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Approximate solution

KW - Fractional differential equations

KW - Numerical method

KW - Reproducing kernel Hilbert space method (RKHSM)

KW - Temporal two-point boundary value problems

UR - https://www.scopus.com/pages/publications/85099690013

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DO - 10.3934/math.2021207

M3 - Article

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JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 4

ER -

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

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Keywords

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