Existence and Stability Results for Nonlinear Boundary Value Problem for Implicit Differential Equations of Fractional Order
and | Feb 04, 2017
About this article
Article Category: Research Article
Published Online: Feb 04, 2017
Page range: 22 - 37
Received: Jan 08, 2015
Accepted: Jun 25, 2015
DOI: https://doi.org/10.7603/s40956-015-0002-9
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of boundary value problem for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle. Two examples are included to show the applicability of our results.