Title of article :
Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions
Author/Authors :
Liu ، Lishan - Qufu Normal University , Li ، Hongdan - Qufu Normal University , Liu ، Chun - Qufu Normal University , Wu ، Yonghong - Curtin University
Abstract :
In this paper, we study the existence and uniqueness of positive solutions for a class of singular fractional differential systems with coupled integral boundary conditions. By using the properties of the Green function, the mixed monotone method and the fixed point theory in cones, we obtain the existence and uniqueness results for the problem. The results obtained herein generalize and improve some known results including singular and nonsingular cases.
Keywords :
Singular fractional differential equations , RiemannStieltjes integral boundary value problem , positive solution , fixed point theorem in cone.
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications