A Study of Nonlinear Fractional-Order Boundary Value Problem with Nonlocal Erdelyi-Kober and Generalized Riemann-Liouville Type Integral Boundary Conditions
Abstract
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
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Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
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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.