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Positive solutions to mixed fractional p-Laplacian boundary value problems

Guezane-Lakoud Assia, Rodríguez-López Rosana

Journal of Applied Analysis

2023

Vol. 29, nr 1

49--58

In this paper, we discuss the existence and uniqueness of a positive solution for a p-Laplacian differential equation containing left and right Caputo derivatives. By the help of the Guo-Krasnoselskii theorem, we prove the existence of at least one positive solution. The existence of a unique positive solution is established under the assumption that the corresponding operator is α-concave and increasing. Numerical examples are given to check the obtained results.