Stability and Existence results for a system of Hilfer-Hadamard fractional differential equations with the p-laplacian operator

	Stability and Existence results for a system of Hilfer-Hadamard fractional differential equations with the p-laplacian operator
Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 مهر 1405 اصل مقاله (1.18 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2026.68139.3285
نویسندگان
Elham Yousefi؛ Mozhgan Akbari^*
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.
چکیده
In this paper, we establish the existence and uniqueness of solutions for a class of Hilfer-Hadamard fractional differential equations involving the p-Laplacian operator. The analysis is carried out using Banach's and Schauder's fixed point theorems. Moreover, we investigate the stability of the system in the framework of Ulam-Hyers and generalized Ulam-Hyers stability concepts. To demonstrate the applicability of the theoretical results, a representative example is provided.
کلیدواژه‌ها
Hilfer-Hadamard fractional؛ Arzel\`{a}-Ascoli theorem؛ p-Laplacian؛ Fixed point Theorem

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