Stability results on mild solution of impulsive neutral fractional stochastic integro-differential equations involving Poisson jumps | Zendy

Alka Chadha | Zendy; Swaroop Nandan Bora | Zendy

Open Access

Stability results on mild solution of impulsive neutral fractional stochastic integro-differential equations involving Poisson jumps

Author(s) -

Alka Chadha,

Swaroop Nandan Bora

Publication year - 2021

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2110383c

Subject(s) - mathematics , resolvent , fixed point theorem , poisson distribution , stability (learning theory) , mathematical analysis , exponential stability , type (biology) , moment (physics) , differential equation , nonlinear system , statistics , ecology , physics , classical mechanics , quantum mechanics , machine learning , computer science , biology

This work studies the existence and the p-th moment asymptotic stability of the mild solution of some neutral fractional stochastic integro-differential equations involving non-instantaneous impulses and Poisson jumps. Sufficient conditions proving existence and asymptotic stability of solutions are obtained utilizing stochastic analysis, resolvent operator and Krasnoselskii-Schaefer type fixed point theorem.

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