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
Pages
15
From page
237
To page
251
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
Serial Year
2018
Journal title
Journal of Nonlinear Science and Applications
Record number
2476935
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