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

Reference30 articles.

1. On spaces Lp(x) and Wk,p(x);Czechoslov. Math. J.,1991

2. The topology of the space Lp(t)([0; 1]);Sharapudinov;Mat. Zametki.,1979

3. Approximation of functions in the metric of the space Lp(t)([a; b] and quadrature formulas;Sharapudinov;Constructive Function Theory,1983

4. Sur un modèle non-linéaire pour le débruitage de l’image;Aboulaich;Comptes Rendus Math. Acad. Sci. Paris.,2007

5. New diffusion models in image processing;Aboulaich;Comput. Math. Appl.,2008

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Weighted Cauchy-Type Problem of Riemann-Liouville Fractional Differential Equations in Lebesgue Spaces with Variable Exponent;Universal Journal of Mathematics and Applications;2024-05-23

2. Caputo-Hadamard fractional boundary-value problems in $ {\mathfrak{L}}^\mathfrak{p} $-spaces;AIMS Mathematics;2024

3. Boundary value problem of weighted fractional derivative of a function with a respect to another function of variable order;Journal of Inequalities and Applications;2023-10-09