| Issue |
MATEC Web Conf.
Volume 228, 2018
2018 3rd International Conference on Circuits and Systems (CAS 2018)
|
|
|---|---|---|
| Article Number | 01005 | |
| Number of page(s) | 6 | |
| Section | Intelligent Computing and Information Processing | |
| DOI | https://doi.org/10.1051/matecconf/201822801005 | |
| Published online | 14 November 2018 | |
The Existence of Solutions for Boundary Value Problem of Fractional Functional Differential Equations with Delay
School of Mathematical, University of Jinan, Jinan, Shandong 250022, P R China
a Corresponding author: sshrong@163.com
A class of boundary value problem for fractional functional differential equation with delay ![$ \left\{ {\begin{array}{*{20}c} {^{C} D^{\sigma } \omega (t) = f(t,\omega _{t} ),t \in [0,\zeta ],} \\ {\omega (0) = 0,\,\omega ^{\prime}(0) = 0,\,\omega ^{\prime\prime}(\zeta ) = 1,} \\ \end{array} } \right. $](/articles/matecconf/abs/2018/87/matecconf_cas2018_01005/matecconf_cas2018_01005-eq1.gif)
is studied, where 
devote standard Caputo fractional derivative. In this article, three new criteria on existence and uniqueness of solution are obtained by Banach contraction mapping principle, Schauder fixed point theorem and nonlinear alternative theorem.
© The Authors, published by EDP Sciences, 2018
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