Existence of multiple positive solutions for p-Laplacian fractional differential equations with a parameter

Abstract

Abstract: A class of nonlinear fractional differential equations of Riemann-Liouville type with p-Laplacian operator and nonlinear terms containing an integral term is considered. The focus is on analyzing its existence of multiple positive solutions under the boundary conditions including a parameter and fractional integral conditions. The problem is transformed into an integral equation by using the Green function. The main results are derived using the Leggett-Williams fixed point theorem and the generalized Avery-Henderson fixed point theorem in the Banach space. The applicability of the result is illustrated by an example.

Key words: p-Laplacian operator, parameter, multiple positive solutions, fixed point theorem

CLC Number:

O175.8

WU Ke-qing, XU Zi-yu, CAI Xu-jun. Existence of multiple positive solutions for p-Laplacian fractional differential equations with a parameter[J]. Journal of Lanzhou University of Technology, 2025, 51(1): 166-172.

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