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Authors: BAHIA TEMAR, OUIZA SAIFI, SMAIL DJEBALI.
Received 27 July; Accepted 13 December 2021. Published Online: 2024-03-20
Published Print: 2024-03-30
pp. 93-114
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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.
Keywords: Fractional differential equation, φ-Laplacian, fixed points index, cone, positive solution, multiple solutions.
