Existence of positive solutions for p-Laplacian systems involving left and right fractional derivatives

Abstract

PurposeThe paper deals with the existence of positive solutions for a coupled system of nonlinear fractional differential equations with p-Laplacian operator and involving both right Riemann–Liouville and left Caputo-type fractional derivatives. The existence results are obtained by the help of Guo–Krasnosel'skii fixed-point theorem on a cone in the sublinear case. In addition, an example is included to illustrate the main results.Design/methodology/approachFixed-point theorems.FindingsNo finding.Originality/valueThe obtained results are original.