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Nonlocal Cauchy problem for fractional evolution equations

✍ Scribed by Yong Zhou; Feng Jiao

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
333 KB
Volume
11
Category
Article
ISSN
1468-1218

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✦ Synopsis

In this paper, the nonlocal Cauchy problem is discussed for the fractional evolution equations in an arbitrary Banach space and various criteria on the existence and uniqueness of mild solutions are obtained. An example to illustrate the applications of main results is also given.

πŸ“œ SIMILAR VOLUMES

The nonlocal Cauchy problem for nonlinea
The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
✍ Krishnan Balachandran; Juan J. Trujillo πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 286 KB

In this paper we prove the existence of solutions of certain kinds of nonlinear fractional integrodifferential equations in Banach spaces. Further, Cauchy problems with nonlocal initial conditions are discussed for the aforementioned fractional integrodifferential equations. At the end, an example i