Pseudo almost periodicity of fractional integro-differential equations with impulsive effects in Banach spaces

Title:

Pseudo almost periodicity of fractional integro-differential equations with impulsive effects in Banach spaces

Creator:

Xia, Zhinan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f80cc8b2-7d0c-48c1-ab1c-78ff3359238b
uuid:f80cc8b2-7d0c-48c1-ab1c-78ff3359238b
issn:0011-4642

Subject:

matematika, mathematics, hustota pravděpodobnosti, impulsive fractional integro-differential equation, pseudo almost periodicity, probability density, fractional powers of operator, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

In this paper, for the impulsive fractional integro-differential equations involving Caputo fractional derivative in Banach space, we investigate the existence and uniqueness of a pseudo almost periodic PC-mild solution. The working tools are based on the fixed point theorems, the fractional powers of operators and fractional calculus. Some known results are improved and generalized. Finally, existence and uniqueness of a pseudo almost periodic PC-mild solution of a two-dimensional impulsive fractional predator-prey system with diffusion are investigated., Zhinan Xia., and Obsahuje bibliografii

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

123-141

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:1

Harvested from:

CDK

Metadata only:

false