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

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DOI:

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

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.

Keywords

Fractional stochastic impulsive differential equation , Square-mean piecewise weighted pseudo almost periodicity , Analytic semigroup , Fractional power operator
  • 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.
  • Pages: 89-110
  • Date Published: 2017-03-01
  • Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal

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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.

Issue

Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal

Section

Articles