Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations

Abstract

In this paper, we research the existence and uniqueness of positive solutions for a coupled system of fractional differential equations. By means of some standard fixed point principles, some results on the existence and uniqueness of positive solutions for coupled systems are obtained.

Application of topological degree method in quantitative behavior of fractional differential equations

“…Beside this we also provide some results from fixed point theory to transfer our model into fixed point problem. For beginner of the field we provide some useful books, articles therefore the interested readers are referred to see [8,9,12,15,24]. Definition 2.1.…”

“…ds ς is reserved for the differential operator of Caputo version of the solution, ρ. In [9], the authors used another tool known as applied generalization method to study the solution's existence theory and numerical solution to the following fractional order boundary value problem,…”

High dimensional fractional coupled systems: New existence and uniqueness results

“…In the literature, we can find many papers dealing with the existence and uniqueness of solutions. For more details, we refer the reader to [11,16,[18][19][20][21] and the references therein.…”