Hilfer-Katugampola fractional stochastic differential equations with nonlocal conditions

Document Type : Research Paper

Authors

1 Department of Mathematics and Computer Science, Faculty of Sciences, Alexandria University, Alexandria, Egypt

2 Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt

Abstract

Hilfer-Katugampola-type fractional stochastic differential equations with nonlocal conditions are considered in this paper. By using the fixed point theorem, the existence and uniqueness of solutions for the considered problem are proved. Ulam-Hyers stability for the considered problem is studied. Finally, an example is presented to show our main results.

Keywords

Volume 14, Issue 1
January 2023
Pages 1205-1214
  • Receive Date: 30 May 2022
  • Revise Date: 13 December 2022
  • Accept Date: 16 December 2022