Fractal and Fractional (Feb 2023)

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

  • Mohammed Said Souid,
  • Ahmed Refice,
  • Kanokwan Sitthithakerngkiet

DOI
https://doi.org/10.3390/fractalfract7020198
Journal volume & issue
Vol. 7, no. 2
p. 198

Abstract

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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.

Keywords