Existence of positive solutions for p-Laplacian systems involving left and right fractional derivatives. Issue 2 (2nd March 2021)

• Record Type: Journal Article
• Authors: Ramdane, Samira; Guezane-Lakoud, Assia
• Is Part Of: Arab journal of mathematical sciences. Volume 27:Issue 2(2021)
• Page Start: 235
• Page End: 248
• Publication Date: 2021-03-02
• Subjects: Fractional derivatives -- Integral condition -- Existence of solutions -- Fixed point theorem; 34A08 -- 34B15
• DOI: 10.1108/AJMS-10-2020-0086
• Languages: English
• ISSNs: 1319-5166

Abstract

Abstract : Purpose: The 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/approach: Fixed-point theorems. Findings: No finding. Originality/value: The obtained results are original.