On singular $\phi$-Laplacian BVPs of nonlinear fractional differential equation

Bahia Temar; Ouiza Saifi; Smail Djebali

doi:10.24193/subbmath.2024.1.07

Authors

Bahia Temar Medea University.
Ouiza Saifi Algiers 3 University
Smail Djebali IMAM University, Riyadh. Saudi Arabia http://orcid.org/0000-0002-2318-1989

DOI:

https://doi.org/10.24193/subbmath.2024.1.07

Keywords:

Fractional differential equation, $\phi-$Laplacian, Fixed points index, cone, positive solution, multiple solutions

Abstract

This paper investigates the existence of multiple positive solutions for a class of $\phi$-Laplacian boundary value problem for a nonlinear fractional differential equation with fractional boundary conditions. Multiple solutions are proved under slight conditions on a possible degenerate source term. Approximation techniques together with the fixed point index theory a on cone of a Banach space are employed. Some examples of application are provided.

Author Biography

Smail Djebali, IMAM University, Riyadh. Saudi Arabia

Professor, Department of Mathematics

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