Axioms, Vol. 12, Pages 974: Multiple Positive Solutions for a System of Fractional Order BVP with p-Laplacian Operators and Parameters

Axioms, Vol. 12, Pages 974: Multiple Positive Solutions for a System of Fractional Order BVP with p-Laplacian Operators and Parameters

Axioms doi: 10.3390/axioms12100974

Authors: Abdullah Ali H. Ahmadini Mahammad Khuddush Sabbavarapu Nageswara Rao

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.