Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions
Journal Title: Universal Journal of Mathematics and Applications (UJMA) - Year 2018, Vol 1, Issue 1
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.
Authors and Affiliations
Bouteraa Noureddine, Slimane Benaicha, Habib Djourdem
Keywords
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