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$\varphi$--Caputo fractional integrodifferential equations with nonlocal conditions via noncompactness measure | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 اردیبهشت 1404 اصل مقاله (1.13 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.62509.2761 | ||
| نویسندگان | ||
| Najat CHEFNAJ* ؛ Abdellah Taqbibt؛ Khalid Hilal؛ M'hamed ELomari | ||
| Applied Mathematics and Scientific Computing Laboratory, Sultan Moulay Slimane University, FST, Beni Mellal, Morocco. | ||
| چکیده | ||
| This article aims to prove the existence and uniqueness of solutions to fractional integro-differential equations involving the $\varphi$-Caputo fractional derivative with nonlocal conditions. The concerned results are obtained using the measure of noncompactness, probability density functions, M\"{o}nch's fixed point theorem, and semigroup theory. To demonstrate the applicability and effectiveness of the results, an illustrative example is presented. | ||
| کلیدواژه‌ها | ||
| Noncompactness measure؛ semigroup؛ Mönch's fixed point theorem؛ $\varphi$-fractional derivative؛ integrodifferential equations | ||
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آمار تعداد مشاهده مقاله: 16 تعداد دریافت فایل اصل مقاله: 17 |
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