Abstract
In this work, we are pleased to investigate multiple positive solutions for a system of Caputo fractionalp-Laplacian boundary value problems, and we also provide an example for illustrating our main results.
Highlights
We are pleased to discuss the positive solutions for the following system of Caputo fractional p-Laplacian boundary value problems:
In [1], by using the method of upper and lower solutions and the Schauder fixed point theorem, Vong investigated the positive solutions for the following nonlocal fractional boundary value problem:
Inspired by the aforementioned results, in this work, we study the solvability for (1) and establish the existence results of multiple positive solutions via the six functional fixed point theorem under some bounded conditions for gi(i 1, 2)
Summary
We are pleased to discuss the positive solutions for the following system of Caputo fractional p-Laplacian boundary value problems:. In [1], by using the method of upper and lower solutions and the Schauder fixed point theorem, Vong investigated the positive solutions for the following nonlocal fractional boundary value problem:. By the Leggett–Williams fixed point theorem, they obtained multiple positive solutions when the nonlinearity f is bounded from below. In [11], Wang utilized the Guo–Krasnosel’skii fixed point theorem to investigate the multiple positive solutions for the mixed fractional p-Laplacian differential system:. Inspired by the aforementioned results, in this work, we study the solvability for (1) and establish the existence results of multiple positive solutions via the six functional fixed point theorem under some bounded conditions for gi(i 1, 2). We provide an example to illustrate our main results
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