EXISTENCE OF A MILD SOLUTION FOR SOBOLEV TYPE STOCHASTIC FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

被引：0

作者：

Chadha, Alka ^{[1
]}

Pandey, D. N. ^{[2
]}

Bahuguna, Dhirendra ^{[1
]}

机构：

[1] Indian Inst Technol Kanpur, Dept Math, Kanpur, Uttar Pradesh, India

[2] Indian Inst Technol Roorkee, Dept Math, Roorkee, Uttar Pradesh, India

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2016年

关键词：

Fractional calculus; Caputo derivative; Stochastic fractional differential equation; Nonlocal conditions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies a fractional nonlocal stochastic differential equation of Sobolev type in a separable Hilbert space. The sufficient conditions for the existence of a mild solution to the Sobolev type fractional stochastic differential equation with nonlocal conditions are obtained by using the Schauder fixed point theorem and approximating techniques under the assumption that the nonlinear part and nonlocal term satisfy some local growth conditions. An example is provided for applicability of the main results.

引用

页数：22

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