On the Solution Structure of Sequential 𝝋-Hilfer FractionalDifferential Equations With p-Laplacian Operator

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John Wiley and Sons Ltd

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info:eu-repo/semantics/openAccess

Özet

This work researches in a class of 𝜑-Hilfer 𝔽 𝔻𝔼s with p-Laplacian operator by evolving an appropriate analytical framework. Wedemonstrate the existence and uniqueness of solutions utilizing Banach's fixed-point theorem. Subsequently, an alternative theo-rem is applied to verify the existence of at least a single solution. In addition to the theoretical analysis, we provide demonstrativeexamples to confirm the development of the solution.

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φ-Hilfer fractional derivative, p-Laplacian operator fixed-point method, fractional integral, solution and uniqueness

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Computational and Mathematical Methods

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2026

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1

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Kaid, Mohammed, Melha, Khellaf Ould, Samei, Mohammad Esmael, Thabet, Sabri T. M., Moulahi, Taoufik, Abdeljawad, Thabet, On the Solution Structure of Sequential φ-Hilfer Fractional Differential Equations With p-Laplacian Operator, Computational and Mathematical Methods, 2026, 2415286, 16 pages, 2026. https://doi.org/10.1155/cmm4/2415286

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