On nonlocal fractional sum-difference boundary value problems for Caputo fractional functional difference equations with delay

In this article, we study the existence and uniqueness results for a nonlocal fractional sum-difference boundary value problem for a Caputo fractional functional difference equation with delay, by using the Schauder fixed point theorem and the Banach contraction principle. Finally, we present some e...

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Bibliographic Details
Published in:Advances in difference equations Vol. 2017; no. 1; pp. 1 - 14
Main Authors: Kaewwisetkul, Bunjong, Sitthiwirattham, Thanin
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.08.2017
Springer Nature B.V
SpringerOpen
Subjects:
Analysis
boundary value problem
Boundary value problems
Caputo fractional functional difference equations
Delay
Difference and Functional Equations
Difference equations
existence
Functional Analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Schauder fixpoint theorem
Uniqueness
existence
Caputo fractional functional difference equations
39A05
boundary value problem
delay
39A12
ISSN:1687-1847, 1687-1839, 1687-1847
Online Access:Get full text
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Summary:In this article, we study the existence and uniqueness results for a nonlocal fractional sum-difference boundary value problem for a Caputo fractional functional difference equation with delay, by using the Schauder fixed point theorem and the Banach contraction principle. Finally, we present some examples to display the importance of these results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-017-1283-2