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

Bahia Temar, Ouiza Saifi, Smail Djebali

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.

Keywords


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

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2024.1.07

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