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2022 / June Volume 17 No.2
Existence of solution for some singular Kirchhoff fractional boundary value problem
Published Date
2022 / June
Title
Existence of solution for some singular Kirchhoff fractional boundary value problem
Author
Abdeljabbar Ghanmi
Keyword
Nonlinear singular fractional differential equation, Riemann-Liouville Fractional Derivative, Fibreging maps, Nehari Manifold, Existence of solutions.
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Pagination
173-194
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.
DOI
10.21915/BIMAS.2022203
https://doi.org/10.21915/BIMAS.2022203
AMS Subject
Classification
34A08, 34B10, 47H10
Received
2022-03-07
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