Hilfer-Katugampola fractional stochastic differential equations with nonlocal conditions

نویسندگان
Sayed Ahmed, A.M. ID 1
M. Ahmed, Hamdy ID 2

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

doi
10.22075/ijnaa.2022.27337.3562
چکیده

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.

کلیدواژه‌ها
Hilfer-Katugampola fractional derivative, Stochastic differential equation, Ulam-Hyers stability, Fixed point theorem, Nonlocal conditions