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Krasnosel’skii, M.A. (1955) Two Remarks on the Method of Successive Approximations. Uspekhi Matematicheskikh Nauk, 10, 123-127.

has been cited by the following article:

• 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.