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A note on the fractional Cauchy problems with nonlocal initial conditions

โœ Scribed by Rong-Nian Wang; Ti-Jun Xiao; Jin Liang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
248 KB
Volume
24
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

Of concern is the Cauchy problems for fractional integro-differential equations with nonlocal initial conditions. Using a new strategy in terms of the compactness of the semigroup generated by the operator in the linear part and approximating technique, a new existence theorem for mild solutions is established. An application to a fractional partial integro-differential equation with a nonlocal initial condition is also considered.

๐Ÿ“œ SIMILAR VOLUMES

Controllability of fractional impulsive
Controllability of fractional impulsive neutral integrodifferential systems with a nonlocal Cauchy condition in Banach spaces
โœ Zhixin Tai ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 210 KB

In this work the controllability of fractional impulsive neutral functional integrodifferential systems with a nonlocal Cauchy condition in a Banach space has been addressed. Sufficient conditions for the controllability are established using fractional powers of operators and the Banach contraction