Existence of positive solutions for a semipositone boundary value problem with sequential fractional derivatives

• Published in: Mathematical methods in the applied sciences Vol. 44; no. 18; pp. 14451 - 14469
• Main Authors: Tudorache, Alexandru, Luca, Rodica
• Format: Journal Article
• Language: English
• Published: Freiburg Wiley Subscription Services, Inc 01.12.2021
• Subjects: Boundary conditions; Boundary value problems; Derivatives; Differential equations; Existence theorems; Fixed points (mathematics); fractional differential equations; Nonlinearity; nonlocal and multipoint boundary value problems; positive solutions of nonlinear boundary value problems; singular nonlinear boundary value problems; systems of nonlinear integral equations
• ISSN: 0170-4214; 1099-1476
• DOI: 10.1002/mma.7712

We investigate the existence and multiplicity of positive solutions for a system of Riemann‐Liouville fractional differential equations with sequential derivatives, positive parameters and sign‐changing singular nonlinearities, subject to nonlocal uncoupled boundary conditions which contain various...