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Hilfer-Katugampola fractional stochastic differential equations with nonlocal conditions

Publish place: International Journal of Nonlinear Analysis and Applications، Vol: 14، Issue: 1
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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لینک ثابت به این Paper:
https://civilica.com/doc/1740042

شناسه ملی سند علمی:

JR_IJNAA-14-1_092

تاریخ نمایه سازی: 5 شهریور 1402

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:

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

Authors

A.M. Sayed Ahmed

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

Hamdy M. Ahmed

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