Positive solutions for a singular fractional boundary value problem. (5th July 2020)

• Record Type: Journal Article
• Authors: Tudorache, Alexandru; Luca, Rodica
• Is Part Of: Mathematical methods in the applied sciences. Volume 43:Number 17(2020)
• Page Start: 10190
• Page End: 10203
• Publication Date: 2020-07-05
• Subjects: existence of solutions -- multiplicity -- nonlocal boundary conditions -- singular nonlinearities -- systems of Riemann‐Liouville fractional differential equations; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6686
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : We investigate the existence of positive solutions for a system of Riemann‐Liouville fractional differential equations, supplemented with uncoupled nonlocal boundary conditions which contain various fractional derivatives and Riemann‐Stieltjes integrals, and the nonlinearities of the system are nonnegative functions and they may be singular at the time variable. In the proof of our main theorems, we use the Guo‐Krasnosel'skii fixed point theorem.