Some Results for Nonlinear (n+1)-Term Fractional Integrodifferential Inclusions with Multipoint Boundary Conditions
Joint Authors
Song, Wen
Kou, Chunhai
Zhou, Huacheng
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-11
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We are concerned with the nonlinear (n+1)-term fractional integrodifferential inclusions L(D)u∈F(t,u,Tu,Su), a.e.
t∈[0,1], where L(D)=Dα-bnDβn-bn-1Dβn-1-⋯-b1Dβ1, 0<β1<β2<⋯<βn-1<βn<1<α<2, b1,b2,…,bn are constant coefficients, and (Tu)(t)=∫01k(t,s)u(s)ds, (Su)(t)=∫0tl(t,s)u(s)ds, subject to the nonlocal conditions u(0)=0, u(1)=∑i=1mγiu(ηi).
The existence results are obtained by using two fixed-point theorems due to Bohnenblust-Karlin and Covitz-Nadler, respectively.
Our results partly generalize and improve the known ones.
American Psychological Association (APA)
Zhou, Huacheng& Kou, Chunhai& Song, Wen. 2011. Some Results for Nonlinear (n+1)-Term Fractional Integrodifferential Inclusions with Multipoint Boundary Conditions. ISRN Mathematical Analysis،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-472091
Modern Language Association (MLA)
Zhou, Huacheng…[et al.]. Some Results for Nonlinear (n+1)-Term Fractional Integrodifferential Inclusions with Multipoint Boundary Conditions. ISRN Mathematical Analysis No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-472091
American Medical Association (AMA)
Zhou, Huacheng& Kou, Chunhai& Song, Wen. Some Results for Nonlinear (n+1)-Term Fractional Integrodifferential Inclusions with Multipoint Boundary Conditions. ISRN Mathematical Analysis. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-472091
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472091
