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

Samira Ramdane, Assia Guezane-Lakoud
2021 Arab Journal of Mathematical Sciences  
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
more » ... g.Originality/valueThe obtained results are original.
doi:10.1108/ajms-10-2020-0086 fatcat:nl5msa3vyrdgpihefvyochn37y