On implicit φ-Hilfer fractional differential equations with the p-Laplacian operator
DOI:
https://doi.org/10.24193/subbmath.2025.4.05Keywords:
φ-Hilfer fractional derivative, topological degree, p-Laplacian operator, Ulam-Hyers stabilityAbstract
In this paper, we establish the existence and uniqueness of solutions for a new class of nonlocal boundary implicit φ-Hilfer fractional differential equations involving the p-Laplacian operator. The existence results are derived using the topological degree method for condensing maps and the Banach contraction principle. Moreover, we investigate the Ulam-Hyers and generalized Ulam-Hyers stability of our main problem. To illustrate the applicability of our theoretical results, we provide an example.
Mathematics Subject Classification (2010): 34A08, 34A09, 34D20.
Received 09 March 2025; Accepted 05 April 2025.
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