Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 34, pp. 1-17.

Title: Existence and multiplicity of solutions for fractional differential equations with p-Laplacian at resonance

Authors: Jose Vanterler da C. Sousa (Univ. Federal do ABC-UFABC, Santo Andre, SP, Brazil)
         Mariane Pigossi (Univ. Federal do Espirito Santo, Vitoria, ES, Brazil)
         Nemat Nyamoradi (Razi Univ., Kermanshah, Iran)

Abstract: 
In this article, we investigate the existence and multiplicity of solutions for
a fractional differential equations with p-Laplacian equation at resonance
in the $\psi$-fractional space $H^{\alpha, \beta; \psi}_p$.
In addition, we show that the energy functional satisfies the Palais-Smale condition.

Submitted June 14, 2021. Published April 26, 2024.
Math Subject Classifications: 26A33, 34A08, 35R11, 35J50.
Key Words: Fractional differential equations; p-Laplacian equation; resonance;  existence and multiplicity.