Journal of Inequalities and Applications (Jul 2022)

Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

  • Mohamed Houas,
  • Francisco Martínez,
  • Mohammad Esmael Samei,
  • Mohammed K. A. Kaabar

DOI
https://doi.org/10.1186/s13660-022-02828-7
Journal volume & issue
Vol. 2022, no. 1
pp. 1 – 24

Abstract

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Abstract We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle. Further, we define and study the Ulam–Hyers stability and Ulam–Hyers–Rassias stability of solutions. We also discuss an illustrative example.

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