Existence of positive solutions for a semipositone boundary value problem with sequential fractional derivatives. (19th August 2021)

• Record Type: Journal Article
• Authors: Tudorache, Alexandru; Luca, Rodica
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 18(2022)
• Page Start: 14451
• Page End: 14469
• Publication Date: 2021-08-19
• Subjects: fractional differential equations -- nonlocal and multipoint boundary value problems -- positive solutions of nonlinear boundary value problems -- singular nonlinear boundary value problems -- systems of nonlinear integral equations; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7712
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : 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 fractional derivatives and Riemann‐Stieltjes integrals. We apply the nonlinear alternative of Leray‐Schauder type and the Guo‐Krasnosel'skii fixed point theorem in the proof of our main existence results.