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State-dependent memory in fractional integro-differential equations | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 23 آبان 1405 اصل مقاله (256.98 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.34037.3135 | ||
| نویسنده | ||
| Karima Ali Khelil* | ||
| Department of Mathematics, Faculty of Sciences, University of Badji Mokhtar, Annaba, Algeria | ||
| چکیده | ||
| This paper studies a class of nonlinear fractional integro-differential equations in which the memory term depends on the state of the unknown function, subject to nonlocal multi-point boundary conditions in the space C([0,1],E), where E is a Banach space of infinite dimension. The problem under consideration features a nonlinear integral term governed by the unknown function, together with a generalized nonlocal initial condition. Existence of solutions is derived through a combination of the measure of noncompactness and Darbo's fixed point theorem; under additional Lipschitz-type conditions, uniqueness and Ulam-Hyers stability of the solution are also established. The theory is illustrated through three examples, one of which is also computed numerically. | ||
| کلیدواژه‌ها | ||
| Fractional integro-differential equations؛ nonlocal conditions؛ Kuratowski measure of noncompactness؛ Darbo's fixed point theorem؛ Ulam-Hyers stability | ||
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آمار تعداد مشاهده مقاله: 3 تعداد دریافت فایل اصل مقاله: 2 |
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