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

Ravi Agarwal; Snezhana Hristova; Donal O'Regan

doi:10.3390/MATH8010032

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

Ravi Agarwal
, Snezhana Hristova
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

14 Citations (Scopus)

Abstract

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.

Original language	English
Article number	32
Journal	Mathematics
Volume	8
Issue number	1
DOIs	https://doi.org/10.3390/MATH8010032
Publication status	Published - 1 Jan 2020

Keywords

Constant delay
Explicit solution
Initial value problem
Linear fractional equation
Riemann-Liouville fractional derivative

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10.3390/MATH8010032

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title = "Explicit solutions of initial value problems for linear scalar Riemann-Liouville fractional differential equations with a constant delay",

abstract = "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.",

keywords = "Constant delay, Explicit solution, Initial value problem, Linear fractional equation, Riemann-Liouville fractional derivative",

author = "Ravi Agarwal and Snezhana Hristova and Donal O'Regan",

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AU - Agarwal, Ravi

AU - Hristova, Snezhana

AU - O'Regan, Donal

PY - 2020/1/1

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N2 - 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.

AB - 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.

KW - Constant delay

KW - Explicit solution

KW - Initial value problem

KW - Linear fractional equation

KW - Riemann-Liouville fractional derivative

UR - https://www.scopus.com/pages/publications/85079678050

U2 - 10.3390/MATH8010032

DO - 10.3390/MATH8010032

M3 - Article

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VL - 8

JO - Mathematics

JF - Mathematics

IS - 1

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ER -

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

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Keywords

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