Abstract
In this paper, we are concerned with a kind of tempered fractional differential equation Riemann–Stieltjes integral boundary value problems with p-Laplacian operators. By means of the sum-type mixed monotone operators fixed point theorem based on the cone P_{h}, we obtain not only the local existence with a unique positive solution, but also construct two successively monotone iterative sequences for approximating the unique positive solution. Finally, we present an example to illustrate our main results.
Highlights
1 Introduction In this paper, we are concerned with local existence–uniqueness of the following nonlinear tempered fractional differential equation involving p-Laplacian operator:
By using the sum-type mixed monotone fixed point theorem based on cone Ph we investigate the existence–uniqueness and monotone iteration of positive solutions for p-Laplacian differential systems with tempered fractional derivatives
In [16], we investigated the existence of multiple positive solutions for the following p
Summary
We are concerned with local existence–uniqueness of the following nonlinear tempered fractional differential equation involving p-Laplacian operator:.
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