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Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions.

Authors :
Ahmad, Bashir
Matar, Mohammed
Agarwal, Ravi
Source :
Boundary Value Problems. 12/2/2015, Vol. 2015 Issue 1, p1-13. 13p.
Publication Year :
2015

Abstract

In this paper, we investigate the existence of solutions for fractional differential equations of arbitrary order with nonlocal integral boundary conditions. The existence results are obtained by applying Krasnoselskii's fixed point theorem and Leray-Schauder degree theory, while the uniqueness of the solutions is established by means of Banach's contraction mapping principle. The paper concludes with illustrative examples. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16872762
Volume :
2015
Issue :
1
Database :
Academic Search Index
Journal :
Boundary Value Problems
Publication Type :
Academic Journal
Accession number :
111312792
Full Text :
https://doi.org/10.1186/s13661-015-0484-4