Academic Journal
On a Hybrid Class of p-Laplacian Initial Value Problems with Modified Mittag-Leffler Kernel.
| العنوان: | On a Hybrid Class of p-Laplacian Initial Value Problems with Modified Mittag-Leffler Kernel. |
|---|---|
| المؤلفون: | Ramasamy, Sowmiya1 sowmiyar@karunya.edu.in, Velusamy, Kavitha1 kavi_velubagyam@yahoo.co.in, Baleanu, Dumitru2 dumitru.baleanu@lau.edu.lb, Mani, Mallika Arjunan3 arjunphd07@yahoo.co.in |
| المصدر: | European Journal of Pure & Applied Mathematics. Oct2024, Vol. 17 Issue 4, p4071-4092. 22p. |
| مصطلحات موضوعية: | *INITIAL value problems, *INTEGRO-differential equations, *MATHEMATICAL category theory |
| مستخلص: | In this work, we establish key results on the existence theory for a category of initial value problems (IVPs) involving hybrid fractional integro-differential equations (HFIDEs) with a p-Laplacian operator, utilizing the modified Mittag-Leffler kernel. By employing Krasnoselskii and Banach fixed point theorems (FPTs), we determine the conditions required for the existence of solutions. Additionally, we examine the Hyers-Ulam (H-U) stability of the problem. Lastly, we present an example to confirm our theoretical results. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: | Academic Search Index |
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