Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations
In this paper, we deal with the existence and uniqueness of piecewise square meanweighted pseudo almost periodic solutions for a class of fractional order stochastic impulsive differential equations. The working tools are based on fixed point technique, fractional power operators and stochastic anal...
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2017
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oai:scielo:S0719-064620170001000062018-10-08Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equationsSingh,VikramPandey,Dwijendra N Fractional stochastic impulsive differential equation Square-mean piecewise weighted pseudo almost periodicity Analytic semigroup Fractional power operator In this paper, we deal with the existence and uniqueness of piecewise square meanweighted pseudo almost periodic solutions for a class of fractional order stochastic impulsive differential equations. The working tools are based on fixed point technique, fractional power operators and stochastic analysis; methods and theory are adopted from deterministic fractional systems. In addition, an example is given to illustrate the theory.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.19 n.1 20172017-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000100006en10.4067/S0719-06462017000100006 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Fractional stochastic impulsive differential equation Square-mean piecewise weighted pseudo almost periodicity Analytic semigroup Fractional power operator |
spellingShingle |
Fractional stochastic impulsive differential equation Square-mean piecewise weighted pseudo almost periodicity Analytic semigroup Fractional power operator Singh,Vikram Pandey,Dwijendra N Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations |
description |
In this paper, we deal with the existence and uniqueness of piecewise square meanweighted pseudo almost periodic solutions for a class of fractional order stochastic impulsive differential equations. The working tools are based on fixed point technique, fractional power operators and stochastic analysis; methods and theory are adopted from deterministic fractional systems. In addition, an example is given to illustrate the theory. |
author |
Singh,Vikram Pandey,Dwijendra N |
author_facet |
Singh,Vikram Pandey,Dwijendra N |
author_sort |
Singh,Vikram |
title |
Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations |
title_short |
Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations |
title_full |
Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations |
title_fullStr |
Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations |
title_full_unstemmed |
Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations |
title_sort |
weighted pseudo almost periodic solutions for fractional order stochastic impulsive differential equations |
publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
publishDate |
2017 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000100006 |
work_keys_str_mv |
AT singhvikram weightedpseudoalmostperiodicsolutionsforfractionalorderstochasticimpulsivedifferentialequations AT pandeydwijendran weightedpseudoalmostperiodicsolutionsforfractionalorderstochasticimpulsivedifferentialequations |
_version_ |
1714206796424413184 |