Positive Solutions for a System of Fractional Boundary Value Problems with r-Laplacian Operators, Uncoupled Nonlocal Conditions and Positive Parameters

• Published in: Axioms Vol. 11; no. 4; p. 164
• Main Authors: Tudorache, Alexandru, Luca, Rodica
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.04.2022
• Subjects: Boundary conditions; Boundary value problems; Differential equations; existence; Fixed points (mathematics); Fractional calculus; Green's functions; Integral equations; Intervals; Laplace transforms; Mathematical analysis; nonexistence; Nonlinearity; nonlocal boundary conditions; Operators (mathematics); Parameters; positive parameters; positive solutions; Riemann–Liouville fractional differential equations; Schauder fixpoint theorem

In this paper, we investigate the existence and nonexistence of positive solutions for a system of Riemann–Liouville fractional differential equations with r-Laplacian operators, subject to nonlocal uncoupled boundary conditions that contain Riemann–Stieltjes integrals, various fractional derivative...