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Existence and stability results for a class of nonlinear fractional $q$-integro-differential equation | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 13، دوره 14، شماره 7، مهر 2023، صفحه 143-158 اصل مقاله (591.95 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.7128 | ||
| نویسندگان | ||
| Mohammad esmael Samei* ؛ Azam Fathipour | ||
| Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan, Iran | ||
| تاریخ دریافت: 24 اسفند 1400، تاریخ بازنگری: 22 تیر 1401، تاریخ پذیرش: 19 شهریور 1401 | ||
| چکیده | ||
| This paper deals with the stability results for the solution of a fractional $q$--integro-differential problem with integral conditions. Using Krasnoselskii's, and Banach's fixed point theorems, we prove the existence and uniqueness of results. Based on the results obtained, conditions are provided that ensure the generalized Ulam stability of the original system on a time scale. The results are illustrated by the examples under the numerical technique. | ||
| کلیدواژه‌ها | ||
| $q$-integro-differential problem؛ Krasnoselskii's theorem؛ stability | ||
| مراجع | ||
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