Local existence-uniqueness of positive solutions for tempered fractional
differential equations with p-Laplacian operators
Abstract
In this paper, we are concerned with a kinds of tempered fractional
differential equation Riemann-Stieltjes integral boundary values problem
involving p−Laplacian operator. By means of the sum-type mixed monotone
operators fixed point theorem based on the cone Ph, not only the local
existence of unique positive solution is obtained, but also two
successively monotone iterative sequences are constructed for
approximating the unique positive solution. Finally, we present an
example to illustrate our main results.