Open AccessStability 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.