EXISTENCE RESULTS FOR ABC-FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED AND INTEGRAL TYPE OF BOUNDARY CONDITIONS-Reference-Cited by-同舟云学术

EXISTENCE RESULTS FOR ABC-FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED AND INTEGRAL TYPE OF BOUNDARY CONDITIONS

Published:2021-03-10 Issue:05 Volume:29 Page:2140016
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

MEHMOOD NAYYAR¹,ABBAS AHSAN¹,ABDELJAWAD THABET²³⁴,AKGÜL ALI⁵

Affiliation:

1. Department of Mathematics and Statistics, International Islamic University, Sector H-10, Islamabad, Pakistan

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

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

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

5. Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey

Abstract

This paper presents a study on the existence theory of fractional differential equations involving Atangana–Baleanu (AB) derivative of order [Formula: see text], with non-separated and integral type boundary conditions. An existence result for the solutions of given AB-fractional differential equation is proved using Krasnoselskii’s fixed point theorem, while the uniqueness of the solution is obtained using Banach contraction principle. Some conditions are proposed under which the given boundary value problem is Hyers–Ulam stable. Examples are given to validate our results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21400168

Reference36 articles.

1. Fractional variational principles in action

2. Battery power loss compensated fractional order sliding mode control of a quadrotor UAV

3. Time fractional Schrödinger equation

4. Gauge invariance in fractional field theories

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