Explicit solutions of initial value problems for systems of linear Riemann-Liouville fractional differential equations with constant delay

被引：12

作者：

Hristova, S. ^{[1
]}

Agarwal, Ravi ^{[2
,3
]}

O'Regan, D. ^{[4
]}

机构：

[1] Univ Plovdiv Paisii Hilendarski Plovdiv, Plovdiv, Bulgaria

[2] Texas A&M Univ, Dept Math, Kingsville, TX USA

[3] Florida Inst Technol, Melbourne, FL 32901 USA

[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Riemann-Liouville fractional derivative; Constant delay; Initial value problem; Systems of linear fractional equations; Explicit solution; q-matrix exponential function; FINITE-TIME STABILITY; REPRESENTATION; DIFFUSION; MODEL;

D O I：

10.1186/s13662-020-02643-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A system of linear Riemann-Liouville fractional differential equations with constant delay is studied. The initial condition is set up similar to the case of the ordinary derivative. Explicit formulas for the solutions are obtained for various initial functions.

引用

页数：18

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