Nonlocal controllability of fractional measure evolution equation

被引：20

作者：

Gu, Haibo ^{[1
]}

Sun, Yu ^{[2
]}

机构：

[1] Xinjiang Normal Univ, Sch Math Sci, Urumqi, Peoples R China

[2] Xinjiang Univ Finance & Econ, Sch Stat & Data Sci, Urumqi, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fractional calculus; Evolution equation; Mild solution; Measure of noncompactness; Nonlocal controllability; FUNCTIONAL-DIFFERENTIAL EQUATIONS; APPROXIMATE CONTROLLABILITY; SYSTEMS;

D O I：

10.1186/s13660-020-02328-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following kind of fractional evolution equation driven by measure with nonlocal conditions: {D0+alpha Cx(t)=Ax(t)dt+(f(t,x(t))+Bu(t))dg(t),t is an element of(0,b], {x(0)+p(x)=x0 The regulated proposition of fractional equation is obtained for the first time. By noncompact measure method and fixed point theorems, we obtain some sufficient conditions to ensure the existence and nonlocal controllability of mild solutions. Finally, an illustrative example is given to show practical usefulness of the analytical results.

引用

页数：18

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