Title of article :
Positive solutions for a class of fractional boundary value problems with fractional boundary conditions
Author/Authors :
Azman ، I. - King Saud University , Jleli ، M. - King Saud University , Lopez ، B. - Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja , Sadarangani ، K. - Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja , Samet ، B. - King Saud University
Abstract :
In this paper, we study the solvability of a nonlinear fractional differential equation under fractional integral boundary conditions. Via a mixed monotone operator method, some new results on the existence and uniqueness of a positive solution for the considered model are obtained. Moreover, we provide iterative sequences for approximating the solution. Some examples are also presented in order to illustrate the obtained result.
Keywords :
Fractional boundary value problem , fractional integral boundary condition , mixed monotone operator
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
