Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions

Year 2018, Volume: 1 Issue: 1, 39 - 45, 11.03.2018

Bouteraa Noureddine , Slimane Benaicha Habib Djourdem

https://doi.org/10.32323/ujma.396363

Cited By: 6

https://izlik.org/JA28UZ45JY

Abstract

In this paper, we study the boundary value problem of a class of fractional differential equations involving the Riemann-Liouville fractional derivative with nonlocal integral boundary conditions. To establish the existence results for the given problems, we use the properties of the Green’s function and the monotone iteration technique, one shows the existence of positive solutions and constructs two successively iterative sequences to approximate the solutions. The results are illustrated with an example.

Keywords

Positive Solution , Iterative sequence , Green’s function

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