In:
MATEC Web of Conferences, EDP Sciences, Vol. 228 ( 2018), p. 01005-
Abstract:
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. $
is studied, where $ 2 〈 \sigma \le 3,\,\,^{c} D^{\sigma } $
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.
Type of Medium:
Online Resource
ISSN:
2261-236X
DOI:
10.1051/matecconf/201822801005
Language:
English
Publisher:
EDP Sciences
Publication Date:
2018
detail.hit.zdb_id:
2673602-0
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