Existence and uniqueness results for a mixed p-Laplacian boundary value problem involving ψ-fractional derivatives and integrals
Articles > Article · 2025
Authors: Özlem Özen, Izel Nüzket, Fatma Topal
Filomat, International, WoS, 2025, vol 39, pp 8493-8507
DOI: 10.2298/fil2524493o
Summary
This paper is concerned with a mixed p-Laplacian boundary value problem involving right-sided and left-sided fractional derivatives and left-sided integral operators with respect to a power function. We prove the uniqueness of the solutions for the given problem with the cases 1 < p ? 2 applying an efficient novel approach together with the Banach contraction mapping principle. Estimates for Green?s functions appearing in the solution of the problem at hand are also presented. Also using Brouwer fixed point theorem, existence result has been achieved for given problem.