Hilfer-Katugampola fractional stochastic differential equations with nonlocal conditions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 92، دوره 14، شماره 1، فروردین 2023، صفحه 1205-1214 اصل مقاله (523.25 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27337.3562 | ||
| نویسندگان | ||
| A.M. Sayed Ahmed1؛ Hamdy M. Ahmed* 2 | ||
| 1Department of Mathematics and Computer Science, Faculty of Sciences, Alexandria University, Alexandria, Egypt | ||
| 2Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt | ||
| 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 | ||
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