Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions

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Universal Journal of Mathematics and Applications
Volume:1 Issue:1
Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions

Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions

Authors : Bouteraa Noureddine, Slimane BENAİCHA, Habib DJOURDEM

Pages : 39-45

Doi:10.32323/ujma.396363

View : 111 | Download : 5

Publication Date : 2018-03-11

Article Type : Research Paper

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, Greens function

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