On singular φ−Laplacian BVPs of nonlinear fractional differential equation
DOI:
https://doi.org/10.24193/subbmath.2024.1.07Keywords:
Fractional differential equation, φ−Laplacian, fixed-points index, cone, positive solution, multiple solutionsAbstract
This paper investigates the existence of multiple positive solutions for a class of φ−Laplacian boundary value problem with a nonlinear fractional differential equation and fractional boundary conditions. Multiple solutions are proved under slight conditions on a possibly degenerating source term. Approximation techniques together with the fixed-point index theory a on cone of a Banach space are employed. Some illustrating examples of are also supplied.
Mathematics Subject Classification (2010): 34A08, 34B15, 34B18, 47H10.
Received 27 July; Accepted 13 December 2021
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