TITLE:
Nonnegative Solutions for a Riemann-Liouville Fractional Boundary Value Problem
AUTHORS:
Rodica Luca, Alexandru Tudorache
KEYWORDS:
Riemann-Liouville Fractional Differential Equations, Nonlocal Boundary Conditions, Nonnegative Solutions, Existence
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.9 No.10,
October
17,
2019
ABSTRACT: We investigate the existence of nonnegative solutions for a Riemann-Liouville fractional differential equation with integral terms, subject to boundary conditions which contain fractional derivatives and Riemann-Stieltjes integrals. In the proof of the main results, we use the Banach contraction mapping principle and the Krasnosel’skii fixed point theorem for the sum of two operators.