A Study of p -Laplacian Nonlocal Boundary Value Problem Involving Generalized Fractional Derivatives in Banach Spaces

Madeaha Alghanmi ()
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Madeaha Alghanmi: Department of Mathematics, College of Sciences and Arts, King Abdulaziz University, Rabigh 21911, Saudi Arabia

Mathematics, 2025, vol. 13, issue 1, 1-16

Abstract: The aim of this article is to introduce and study a new class of fractional integro nonlocal boundary value problems involving the p -Laplacian operator and generalized fractional derivatives. The existence of solutions in Banach spaces is investigated with the aid of the properties of Kuratowski’s noncompactness measure and Sadovskii’s fixed-point theorem. Two illustrative examples are constructed to guarantee the applicability of our results.

Keywords: generalized fractional derivative; p -Laplacian operator; measure of noncompactness; existence; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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