A class of nonlinear double-phase Dirichlet fractional differential equations
Articles
Shengda Zeng
Yulin Normal University
https://orcid.org/0000-0003-1818-842X
Jinxia Cen
Zhejiang Normal University
https://orcid.org/0000-0001-9360-8821
José Vanterler da C. Sousa
State University of Maranhao
Published 2025-05-21
https://doi.org/10.15388/namc.2025.30.42116
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Keywords

psi-Hilfer fractional derivative
double-phase problem
positive solution
singularity

How to Cite

Zeng, S., Cen, J. and Vanterler da C. Sousa, J. (2025) “A class of nonlinear double-phase Dirichlet fractional differential equations”, Nonlinear Analysis: Modelling and Control, 30, pp. 1–19. doi:10.15388/namc.2025.30.42116.

Abstract

In this paper, we study the existence of positive solutions for a new class of double-phase Dirichlet fractional differential equations with singular and superlinear terms. By applying the Nehari manifold method we show that for all small values of the parameter τ > 0, the considered equation has at least two positive solutions.

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