Approximation of Solutions to Stochastic Fractional Integro-Differential Equation with Deviated Argument

被引：0
作者：
Renu Chaudhary
Dwijendra N. Pandey
机构：
[1] Indian Institute of Technology Roorkee,Department of Mathematics
来源：
Differential Equations and Dynamical Systems | 2020年 / 28卷
关键词：
Analytic semigroup; Banach fixed point theorem; Faedo–Galerkin approximations; Hilbert space; Mild solution; Stochastic fractional integro-differential equation with deviated argument; 34G20; 34K30; 34K40; 34K50; 35K90;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study a stochastic fractional integro-differential equation with deviated argument in a separable Hilbert space. We used the semigroup theory of linear operators to study the existence, uniqueness and convergence of approximate solutions to the given equation with the help of stochastic version of the well-known Banach fixed point theorem. Moreover, the convergence of Faedo–Galerkin approximation of the solution is shown. In the last, we give an example to illustrate the applications of the abstract results.
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页码：337 / 356
页数：19
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