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

共 50 条

[1] Explicit solutions of initial value problems for systems of linear Riemann-Liouville fractional differential equations with constant delay
Hristova, S.
Agarwal, Ravi
O'Regan, D.
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[2] Explicit solutions of initial value problems for systems of linear Riemann–Liouville fractional differential equations with constant delay
S. Hristova
Ravi Agarwal
D. O’Regan
Advances in Difference Equations, 2020
[3] Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability
Hristova, Snezhana G.
Tersian, Stepan A.
DEMONSTRATIO MATHEMATICA, 2020, 53 (01) : 121 - 130
[4] Explicit Solutions and Finite Time Stability of Linear Riemann-Liouville Fractional Differential Equations with a Constant Delay and Non-Instantaneous Impulses
Hristova, Snezhana
Kostadinov, Todor
Ivanova, Krasimira
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE20), 2021, 2333
[5] Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
Wei, Zhongli
Li, Qingdong
Che, Junling
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 367 (01) : 260 - 272
[6] Initial value problems for neutral fractional differential equations involving a Riemann-Liouville derivative
Jankowski, Tadeusz
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) : 7772 - 7776
[7] EXACT SOLUTIONS OF LINEAR RIEMANN-LIOUVILLE FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSES
Agarwal, Ravi P.
Hristova, Snezhana
O'Regan, Donal
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (03) : 779 - 791
[8] QUASILINEARIZATION AND BOUNDARY VALUE PROBLEMS FOR RIEMANN-LIOUVILLE FRACTIONAL DIFFERENTIAL EQUATIONS
Eloe, Paul W.
Jonnalagadda, Jaganmohan
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
[9] Iterative techniques with computer realization for initial value problems for Riemann-Liouville fractional differential equations
Agarwal, Ravi
Golev, A.
Hristova, S.
O'Regan, D.
JOURNAL OF APPLIED ANALYSIS, 2020, 26 (01) : 21 - 47
[10] Attractivity of solutions of Riemann-Liouville fractional differential equations
Zhu, Tao
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2022, (52) : 1 - 12

← 1 2 3 4 5 →