Ulam stability analysis of stochastic pantograph integro-differential equation with Hilfer fractional derivative

Authors

  • Ayoub Louakar Laboratory of Applied Mathematics and Scientific Competing, Sultan Moulay Slimane University, Beni Mellal, Morocco.
  • Devaraj Vivek Department of Mathematics, PSG College of Arts \& Science, Coimbatore-641 014, India.
  • Ahmed Kajouni Laboratory of Applied Mathematics and Scientific Competing, Sultan Moulay Slimane University, Beni Mellal, Morocco.
  • Khalid Hilal Laboratory of Applied Mathematics and Scientific Competing, Sultan Moulay Slimane University, Beni Mellal, Morocco.

Abstract

In this study, we look into the Ulam stability of a class of stochastic pantograph integro-differential equations
(SPIDEs) that involve the Hilfer fractional derivative (HFD). Ulam-Hyers (U-H) stability is investigated by
using Picard operator theory, and the existence and uniqueness of solutions are established. An application
is given to validate the results.

Downloads

Published

2025-11-28

Issue

Vol. 32 No. 4 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Ayoub Louakar, Devaraj Vivek, Ahmed Kajouni , Khalid Hilal

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Ulam stability analysis of stochastic pantograph integro-differential equation with Hilfer fractional derivative. (2025). Nonlinear Studies, 32(4), 1425-1443. https://www.nonlinearstudies.com/index.php/nonlinear/article/view/3791