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Mixed fractional differential equation with nonlocal conditions in Banach spaces | ||
| Journal of Mathematical Modeling | ||
| مقاله 9، دوره 9، شماره 3، آذر 2021، صفحه 451-463 اصل مقاله (282.67 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2021.18439.1582 | ||
| نویسنده | ||
| Abdellatif Boutiara* | ||
| Laboratory of Mathematics And Applied Sciences University of Ghardaia, 47000. Algeria | ||
| چکیده | ||
| This paper is devoted to study the existence of solution for a class of nonlinear differential equations with nonlocal boundary conditions involving the right Caputo and left Riemann--Liouville fractional derivatives. Our approach is based on Darbo's fixed point theorem associated with the Hausdorff measure of noncompactness. The obtained results generalize and extend some of the results found in the literature. Besides, the reported results concerned in the Banach space's sense. In the end, an example illustrates our acquired results. | ||
| کلیدواژه‌ها | ||
| Right Caputo and left Riemann--Liouville fractional derivatives؛ nonlocal boundary conditions؛ existence؛ Banach spaces؛ Darbo's fixed point theorem؛ Hausdorff measure of noncompactness | ||
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آمار تعداد مشاهده مقاله: 752 تعداد دریافت فایل اصل مقاله: 800 |
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