Existence Results for Fractional Difference Equations with Three-Point Fractional Sum Boundary Conditions
Joint Authors
Tariboon, Jessada
Ntouyas, Sotiris. K.
Sitthiwirattham, Thanin
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We consider a discrete fractional boundary value problem of the form Δαu(t)=f(t+α-1,u(t+α-1)), t∈[0,T]ℕ0:={0,1,…,T}, u(α-2)=0, u(α+T)=Δ-βu(η+β), where 1<α≤2, β>0, η∈[α-2,α+T-1]ℕα-2:={α-2,α-1,…,α+T-1}, and f:[α-1,α,…,α+T-1]ℕα-1×ℝ→ℝ is a continuous function.
The existence of at least one solution is proved by using Krasnoselskii's fixed point theorem and Leray-Schauder's nonlinear alternative.
Some illustrative examples are also presented.
American Psychological Association (APA)
Sitthiwirattham, Thanin& Tariboon, Jessada& Ntouyas, Sotiris. K.. 2013. Existence Results for Fractional Difference Equations with Three-Point Fractional Sum Boundary Conditions. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-446665
Modern Language Association (MLA)
Sitthiwirattham, Thanin…[et al.]. Existence Results for Fractional Difference Equations with Three-Point Fractional Sum Boundary Conditions. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-446665
American Medical Association (AMA)
Sitthiwirattham, Thanin& Tariboon, Jessada& Ntouyas, Sotiris. K.. Existence Results for Fractional Difference Equations with Three-Point Fractional Sum Boundary Conditions. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-446665
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446665