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

Donal O'Regan

doi:10.1186/s13662-020-02643-8

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

Donal O'Regan

Mathematics

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15 Citations (Scopus)

Abstract

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.

Original language	English (Ireland)
Article number	180
Journal	Advances In Difference Equations
Volume	2020
Issue number	1
DOIs	https://doi.org/10.1186/s13662-020-02643-8
Publication status	Published - 1 Apr 2020

Keywords

Constant delay
Explicit solution
Initial value problem
Riemann–Liouville fractional derivative
Systems of linear fractional equations
q-matrix exponential function

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Hristova, S,Agarwal, R,O'Regan, D

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10.1186/s13662-020-02643-8

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

abstract = "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.",

keywords = "Constant delay, Explicit solution, Initial value problem, Riemann–Liouville fractional derivative, Systems of linear fractional equations, q-matrix exponential function",

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KW - Constant delay

KW - Explicit solution

KW - Initial value problem

KW - Riemann–Liouville fractional derivative

KW - Systems of linear fractional equations

KW - q-matrix exponential function

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JO - Advances In Difference Equations

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ER -

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

Abstract

Keywords

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