EXISTENCE RESULTS AND STABILITY CRITERIA FOR ABC-FUZZY-VOLTERRA INTEGRO-DIFFERENTIAL EQUATION-Reference-Cited by-同舟云学术

EXISTENCE RESULTS AND STABILITY CRITERIA FOR ABC-FUZZY-VOLTERRA INTEGRO-DIFFERENTIAL EQUATION

Published:2020-07-06 Issue:08 Volume:28 Page:2040048
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

KHAN HASIB¹,GOMEZ-AGUILAR J. F.²,ABDELJAWAD THABET³⁴⁵,KHAN AZIZ³

Affiliation:

1. Department of Mathematics, Shaheed Benazir Bhutto University Sheringal, Dir Upper 18000, Khybar Pakhtunkhwa, Pakistan

2. CONACyT-Tecnologico Nacional de Mexico/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C. P. 62490, Cuernavaca, Morelos, Mexico

3. Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia

4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

5. Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan

Abstract

In the modeling of dynamical problems the fractional order integro-differential equations (IDEs) are very common in science and engineering. The scientists are developing different aspects of these models. The existence of solutions, stability analysis and numerical simulations are the most commonly studied aspects. There is no paper in literature describing the Hyers–Ulam stability (HU-stability) for fuzzy-fractional order models. Therefore, keeping the importance of the study, we consider the existence, uniqueness and HU-stability of a fractional order fuzzy-Volterra IDE.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X20400484

Reference37 articles.

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3. Existence and uniqueness of an entropy solution for a nonlinear reaction-diffusion system applied to texture analysis

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