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A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations
Joint Authors
Liang, Jin
Zhu, Huan
Lu, Tzon-Tzer
Li, Fang
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-13
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X.
We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness and the fixed point theorem for condensing maps.
As an application, the existence of the mild solution to a nonlocal Cauchy problem for a concrete integrodifferential equation is obtained.
American Psychological Association (APA)
Li, Fang& Liang, Jin& Lu, Tzon-Tzer& Zhu, Huan. 2012. A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1029045
Modern Language Association (MLA)
Li, Fang…[et al.]. A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-1029045
American Medical Association (AMA)
Li, Fang& Liang, Jin& Lu, Tzon-Tzer& Zhu, Huan. A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1029045
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029045