UNIQUENESS OF SOLUTIONS TO INITIAL VALUE PROBLEM OF FRACTIONAL DIFFERENTIAL EQUATIONS OF VARIABLE-ORDER

被引：29

作者：

An, Jiahui ^{[1
]}

Chen, Pengyu ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2019年 / 28卷 / 03期

关键词：

derivatives and integrals of variable-order; initial value problem; piecewise constant functions; uniqueness of solution; BOUNDARY-VALUE PROBLEM; EXISTENCE; DESIGN;

D O I：

10.12732/dsa.v28i3.6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the Banach contraction mapping principle, we study the existence and uniqueness of solutions for initial value problem of fractional differential equations of variable-order {D-0+q((t)) x(t) = f (t, x(t)), 0 < t <= T, t(2-q(t)) x(t) vertical bar (t=0 )= 0, where 1 < q(t) < 2 , 0 < T + infinity, D-0+(q(t)) is the Riemann-Liouvile fractional derivative of variable-order q(t).

引用

页码：607 / 623

页数：17

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