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

Zhinan Xia

Czechoslovak Mathematical Journal (2017)

  • Volume: 67, Issue: 1, page 123-141
  • ISSN: 0011-4642

Abstract

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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 P C -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 P C -mild solution of a two-dimensional impulsive fractional predator-prey system with diffusion are investigated.

How to cite

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Xia, Zhinan. "Pseudo almost periodicity of fractional integro-differential equations with impulsive effects in Banach spaces." Czechoslovak Mathematical Journal 67.1 (2017): 123-141. <http://eudml.org/doc/287880>.

@article{Xia2017,
abstract = {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.},
author = {Xia, Zhinan},
journal = {Czechoslovak Mathematical Journal},
keywords = {impulsive fractional integro-differential equation; pseudo almost periodicity; probability density; fractional powers of operator},
language = {eng},
number = {1},
pages = {123-141},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Pseudo almost periodicity of fractional integro-differential equations with impulsive effects in Banach spaces},
url = {http://eudml.org/doc/287880},
volume = {67},
year = {2017},
}

TY - JOUR
AU - Xia, Zhinan
TI - Pseudo almost periodicity of fractional integro-differential equations with impulsive effects in Banach spaces
JO - Czechoslovak Mathematical Journal
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 1
SP - 123
EP - 141
AB - 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.
LA - eng
KW - impulsive fractional integro-differential equation; pseudo almost periodicity; probability density; fractional powers of operator
UR - http://eudml.org/doc/287880
ER -

References

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