Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations

Vikram Singh; Dwijendra N Pandey

doi:10.4067/S0719-06462017000100006

Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations

Authors

Vikram Singh Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India.
Dwijendra N Pandey Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India.

DOI:

https://doi.org/10.4067/S0719-06462017000100006

Keywords:

Fractional stochastic impulsive differential equation, Square-mean piecewise weighted pseudo almost periodicity, Analytic semigroup, Fractional power operator

Abstract

In this paper, we deal with the existence and uniqueness of piecewise square mean weighted 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.

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Published

2017-03-01

How to Cite

[1]

V. Singh and D. N. Pandey, “Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations”, CUBO, vol. 19, no. 1, pp. 89–110, Mar. 2017.