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Initial value problem for fractional evolution equations

✍ Scribed by Hongxia Fan, Jia Mu

Book ID
119906756
Publisher
Springer International Publishing AG
Year
2012
Tongue
English
Weight
178 KB
Volume
2012
Category
Article
ISSN
1687-1839

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πŸ“œ SIMILAR VOLUMES

Nonlocal Cauchy problem for fractional e
Nonlocal Cauchy problem for fractional evolution equations
✍ Yong Zhou; Feng Jiao πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 333 KB

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.

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✍ Nickolai Kosmatov πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 531 KB

We discuss the solvability of integral equations associated with initial value problems for a nonlinear differential equation of fractional order. The differential operator is the Caputo fractional derivative and the inhomogeneous term depends on the fractional derivative of lower orders. We obtain