Stability of p(·)-Integrable Solutions for Fractional Boundary Value Problem via Piecewise Constant Functions-Reference-Cited by-同舟云学术

Stability of p(·)-Integrable Solutions for Fractional Boundary Value Problem via Piecewise Constant Functions

Published:2023-02-17 Issue:2 Volume:7 Page:198
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Souid Mohammed Said¹^ORCID,Refice Ahmed²^ORCID,Sitthithakerngkiet Kanokwan³^ORCID

Affiliation:

1. Department of Economic Sciences, University of Tiaret, Tiaret 14000, Algeria

2. Laboratory of Mathematics, University of Djillali Liabes, Sidi Bel Abbès 17000, Algeria

3. Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok (KMUTNB), Wongsawang, Bangsue, Bangkok 10800, Thailand

Abstract

The goal of this work is to study a multi-term boundary value problem (BVP) for fractional differential equations in the variable exponent Lebesgue space (Lp(·)). Both the existence, uniqueness, and the stability in the sense of Ulam–Hyers are established. Our results are obtained using two fixed-point theorems, then illustrating the results with a comprehensive example.

Funder

Research and Innovation Fund (NSRF), and King Mongkut’s University of Technology North Bangkok

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/2/198/pdf

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