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Positive solutions for a singular fractional boundary value problem
Author(s) -
Tudorache Alexandru,
Luca Rodica
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6686
Subject(s) - mathematics , fixed point theorem , riemann–stieltjes integral , fractional calculus , boundary value problem , mathematical analysis , singular solution , variable (mathematics) , integral equation
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.