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Existence of solution for some singular Kirchhoff fractional boundary value problem
by Abdeljabbar Ghanmi

Vol. 17 No. 2 (2022) P.173~P.194
 DOI: https://doi.org/10.21915/BIMAS.2022203 10.21915/BIMAS.2022203

ABSTRACT

In this work, we investigate the question of the existence of multiple solutions for some nonlinear singular $p$-fractional problem with Riemann-Liouville fractional derivative and of Kirchhoff type. Precisely, we employ the method of the Nehari manifold combined with the analysis of the fibering map in order to show the existence of at least two non-trivial weak solutions.

KEYWORDS
Nonlinear singular fractional differential equation, Riemann-Liouville Fractional Derivative, Fibreging maps, Nehari Manifold, Existence of solutions.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34A08, 34B10, 47H10

MILESTONES