A Study of Nonlinear Fractional-Order Boundary Value Problem with Nonlocal Erdelyi-Kober and Generalized Riemann-Liouville Type Integral Boundary Conditions
DOI: https://doi.org/10.3846/13926292.2017.1274920Abstract
We investigate a new kind of nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with integral boundary conditions involving Erdelyi-Kober and generalized Riemann-Liouville fractional integrals. Existence and uniqueness results for the given problem are obtained by means of standard fixed point theorems. Examples illustrating the main results are also discussed.
Keywords:
Caputo fractional derivative, Erdelyi-Kober, generalized Riemann-Liouville fractional integral, fractional integral, fixed pointHow to Cite
Share
License
Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
View article in other formats
CrossMark check
Published
Issue
Section
Copyright
Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.