Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays | Zendy

R. Sakthivel | Zendy; P. Revathi | Zendy; Nazım I. Mahmudov | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays

Author(s) -

R. Sakthivel,

P. Revathi,

Nazım I. Mahmudov

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/769257

Subject(s) - mathematics , uniqueness , semigroup , class (philosophy) , exponential stability , moment (physics) , nonlinear system , fixed point theorem , mathematical analysis , hilbert space , fixed point , stability (learning theory) , differential equation , physics , classical mechanics , quantum mechanics , artificial intelligence , machine learning , computer science

We study the existence and asymptotic stability in pth moment of a mild solution to a class of nonlinear fractional neutral stochastic differential equations with infinitedelays in Hilbert spaces. A set of novel sufficient conditions are derived with the help of semigroup theory and fixed point technique for achieving the required result. The uniqueness of the solution of the considered problem is also studied under suitable conditions. Finally, an example is given to illustrate the obtained theory

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research