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

Author

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  • Madeaha Alghanmi

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

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.

Suggested Citation

  • Madeaha Alghanmi, 2025. "A Study of p -Laplacian Nonlocal Boundary Value Problem Involving Generalized Fractional Derivatives in Banach Spaces," Mathematics, MDPI, vol. 13(1), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:1:p:138-:d:1558365
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