Multiple Positive Solutions for a System of Fractional Order BVP with <i>p</i>-Laplacian Operators and Parameters

Abstract

In this paper, we investigate the existence of positive solutions to a system of fractional differential equations that include the (r1,r2,r3)-Laplacian operator, three-point boundary conditions, and various fractional derivatives. We use a combination of techniques, including cone expansion and compression of the functional type, and the Leggett–Williams fixed point theorem, to prove the existence of positive solutions. Finally, we provide two examples to illustrate our main results.

Keywords

• fractional derivative
• positive solutions
• boundary value problems
• <i>p</i>-Laplacian
• parameters