Applications of Fixed Point Theory to Investigate a System of Fractional Order Differential Equations-Reference-Cited by-同舟云学术

Applications of Fixed Point Theory to Investigate a System of Fractional Order Differential Equations

Published:2021-09-28 Issue: Volume:2021 Page:1-7
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Khan Zareen A.¹^ORCID,Ahmad Israr²,Shah Kamal²³^ORCID

Affiliation:

1. College of Science, Mathematical Sciences, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

2. Department of Mathematics, University of Malakand, Chakdara Dir (Lower), Khyber Pakhtunkhawa, Pakistan

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

Abstract

We investigate a nonlinear system of pantograph-type fractional differential equations (FDEs) via Caputo-Hadamard derivative (CHD). We establish the conditions for existence theory and Ulam-Hyers-type stability for the underlying boundary value system (BVS) of FDE. We use Krasnoselskii’s and Banach’s fixed point theorems to obtain the desired results for the existence of solution. Stability is an important aspect from a numerical point of view we investigate here. To justify the main work, relevant examples are provided.

Funder

Princess Nourah Bint Abdulrahman University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/1399764.pdf

Reference34 articles.

1. Radial symmetry of standing waves for nonlinear fractional Hardy–Schrödinger equation

2. Stability analysis of nonlinear Hadamard fractional differential system

3. Standing waves of nonlinear fractional p-Laplacian Schrödinger equation involving logarithmic nonlinearity