Boundary Value Problems With ψ-Hilfer Fractional Derivative: Existence Theorems in Nonlinear Analysis

Amjad Salari and Zainab Mawdoodi

International Journal of Differential Equations, 2026, vol. 2026, 1-9

Abstract: This work investigates the existence of infinitely many nontrivial weak solutions to a boundary value problem involving the right-sided and left-sided ψ-Hilfer fractional derivative and ψ-Riemann–Liouville fractional integral operators. Using variational methods and critical point theory, we obtain new existence criteria for solutions of the given problem. Our approach is applicable to a variety of nonlinearities and boundary conditions. The results obtained in this article are novel in the given configuration and enrich the literature on the topic.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:3162931

DOI: 10.1155/ijde/3162931

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