Multiple positive solutions for a coupled system of fractional multi-point BVP with p-Laplacian operator

Abstract

Abstract We investigate the existence of positive solutions for a system of fractional multi-point BVP with p-Laplacian operator. Our main tool is the fixed point theorem due to Leggett-Williams. The result obtained in this paper corrects some mistakes in (Al-Hossain in Differ. Equ. Dyn. Syst., 2016, doi: 10.1007/s11590-013-0708-4 ) and essentially improves and extends some well-known results.

Keywords

• fractional differential equation
• positive solutions
• p-Laplacian operator
• Green’s function
• cone