Ahmadini, A.A.H.; Khuddush, M.; Nageswara Rao, S. Multiple Positive Solutions for a System of Fractional Order BVP with p-Laplacian Operators and Parameters. Axioms2023, 12, 974.
Ahmadini, A.A.H.; Khuddush, M.; Nageswara Rao, S. Multiple Positive Solutions for a System of Fractional Order BVP with p-Laplacian Operators and Parameters. Axioms 2023, 12, 974.
Ahmadini, A.A.H.; Khuddush, M.; Nageswara Rao, S. Multiple Positive Solutions for a System of Fractional Order BVP with p-Laplacian Operators and Parameters. Axioms2023, 12, 974.
Ahmadini, A.A.H.; Khuddush, M.; Nageswara Rao, S. Multiple Positive Solutions for a System of Fractional Order BVP with p-Laplacian Operators and Parameters. Axioms 2023, 12, 974.
Abstract
In this study, we investigate the existence of positive solutions within a system of Riemann-Liouville fractional differential equations that incorporate the (r1,r2,r3)-Laplacian operator while being subject to three-point boundary conditions. These equations incorporate various fractional derivatives and are influenced by parameters represented as (ψ1,ψ2,ψ3). Our approach involves employing techniques such as cone expansion and compression of the functional type, in conjunction with the Leggett-Williams fixed point theorem, to establish the existence of positive solutions. To emphasize the practical significance of our findings in the realm of fractional differential equations, we provide two illustrative examples.
Keywords
Fractional derivative; Positive solutions; Boundary value problems; p-Laplacian; parameters
Subject
Arts and Humanities, Humanities
Copyright:
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