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On the Cauchy Problems of Fractional Evolution Equations with Nonlocal Initial Conditions

✍ Scribed by Wang, Rong-Nian; Yang, Yan-Hong

Book ID
119968888
Publisher
Springer
Year
2011
Tongue
English
Weight
260 KB
Volume
63
Category
Article
ISSN
1422-6383

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πŸ“œ SIMILAR VOLUMES

A note on the fractional Cauchy problems
A note on the fractional Cauchy problems with nonlocal initial conditions
✍ Rong-Nian Wang; Ti-Jun Xiao; Jin Liang πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 248 KB

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

On the nonlocal Cauchy problem for semil
On the nonlocal Cauchy problem for semilinear fractional order evolution equations
✍ Wang, JinRong ;Zhou, Yong ;Fečkan, Michal πŸ“‚ Article πŸ“… 2014 πŸ› Walter de Gruyter GmbH 🌐 English βš– 994 KB

## Abstract In this paper, we develop the approach and techniques of [Boucherif A., Precup R., Semilinear evolution equations with nonlocal initial conditions, Dynam. Systems Appl., 2007, 16(3), 507–516], [Zhou Y., Jiao F., Nonlocal Cauchy problem for fractional evolution equations, Nonlinar Anal.