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

Fractal and Fractional

article

Mohammed Said Souid¹  Ahmed Refice²  Kanokwan Sitthithakerngkiet³ 

[1] Department of Economic Sciences, University of Tiaret;Laboratory of Mathematics, University of Djillali Liabes;Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok

关键词: boundary value problem;    Lebesgue spaces;    variable exponent Lebesgue spaces;    fixed point theorem;    Ulam–Hyers stability;   

DOI  :  10.3390/fractalfract7020198

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY