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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Autores principales: Singh,Vikram, Pandey,Dwijendra N
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2017
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000100006
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spelling 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
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