Jose Vanterler da C. Sousa, Mariane Pigossi, Nemat Nyamoradi
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.
DOI: 10.58997/ejde.2024.34
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Jose Vanterler da C. Sousa Centro de Matemática, Computação e Cognição Universidade Federal do ABC-UFABC Santo André, SP, Brazil email: jose.vanterler@ufabc.edu.br |
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Mariane Pigossi Departamento de Matemática Universidade Federal do Espírito Santo Av. Fernando Ferrari, 514 UFES, 29075-910, Vitória, ES, Brazil email: mariane.pigossi@ufes.br |
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Nemat Nyamoradi Department of Mathematics Faculty of Sciences Razi University, Kermanshah 67149, Iran email: neamat80@yahoo.com |
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