A Modified Reproducing Kernel Hilbert Space Method for Solving Fuzzy Fractional Integro-differential Equations

Shatha Hasan; Banan Maayah; Samia Bushnaq; Shaher Momani

doi:10.5269/bspm.52289

A Modified Reproducing Kernel Hilbert Space Method for Solving Fuzzy Fractional Integro-differential Equations

Shatha Hasan
, Banan Maayah
, Samia Bushnaq
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Al-Balqa Applied University
University of Jordan
Princess Sumaya University for Technology

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

6 Scopus citations

Abstract

The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo’s H-differentiability. The analytic and approximate solutions are given in series form in term of their parametric form in the space Formula Presented. Several examples are carried out to show the effectiveness and the absence of complexity of the proposed method.

Original language	English
Journal	Boletim da Sociedade Paranaense de Matematica
Volume	41
DOIs	https://doi.org/10.5269/bspm.52289
State	Published - 2023

Keywords

Caputo’s H-differentiability
Fuzzy fractional integro-differential equation
Reproducing kernel Hilbert space method

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10.5269/bspm.52289

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abstract = "The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo{\textquoteright}s H-differentiability. The analytic and approximate solutions are given in series form in term of their parametric form in the space Formula Presented. Several examples are carried out to show the effectiveness and the absence of complexity of the proposed method.",

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AU - Bushnaq, Samia

AU - Momani, Shaher

PY - 2023

Y1 - 2023

N2 - The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo’s H-differentiability. The analytic and approximate solutions are given in series form in term of their parametric form in the space Formula Presented. Several examples are carried out to show the effectiveness and the absence of complexity of the proposed method.

AB - The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo’s H-differentiability. The analytic and approximate solutions are given in series form in term of their parametric form in the space Formula Presented. Several examples are carried out to show the effectiveness and the absence of complexity of the proposed method.

KW - Caputo’s H-differentiability

KW - Fuzzy fractional integro-differential equation

KW - Reproducing kernel Hilbert space method

UR - https://www.scopus.com/pages/publications/85147100805

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ER -

A Modified Reproducing Kernel Hilbert Space Method for Solving Fuzzy Fractional Integro-differential Equations

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Keywords

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