Explicit Solutions of Initial Value Problems for Linear Scalar Riemann-Liouville Fractional Differential Equations With a Constant Delay

被引：9

作者：

Agarwal, Ravi ^{[1
,2
]}

Hristova, Snezhana ^{[3
]}

O'Regan, Donal ^{[4
]}

机构：

[1] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA

[2] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[3] Univ Plovdiv Paisii Hilendarski, Dept Appl Math & Modeling, Plovdiv 4000, Bulgaria

[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway H91 TK33, Ireland

来源：

MATHEMATICS | 2020年 / 8卷 / 01期

关键词：

Riemann-Liouville fractional derivative; constant delay; initial value problem; linear fractional equation; explicit solution; FINITE-TIME STABILITY; REPRESENTATION;

D O I：

10.3390/math8010032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study Linear Riemann-Liouville fractional differential equations with a constant delay. The initial condition is set up similarly to the case of ordinary derivative. Explicit formulas for the solutions are obtained for various initial functions.

引用

页数：14

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