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

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

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.

Bibliographic Details
Main Authors: Ravi Agarwal, Snezhana Hristova, Donal O’Regan
Format: Article
Language:English
Published: MDPI AG 2019-12-01
Series:Mathematics
Subjects:
riemann-liouville fractional derivative
constant delay
initial value problem
linear fractional equation
explicit solution
Online Access:https://www.mdpi.com/2227-7390/8/1/32
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spelling doaj-05a038fa24324f3a86d9283931706b9d2020-11-25T02:16:12ZengMDPI AGMathematics2227-73902019-12-01813210.3390/math8010032math8010032Explicit Solutions of Initial Value Problems for Linear Scalar Riemann-Liouville Fractional Differential Equations With a Constant DelayRavi Agarwal0Snezhana Hristova1Donal O’Regan2Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363, USADepartment of Applied Mathematics and Modeling, University of Plovdiv “Paisii Hilendarski”, 4000 Plovdiv, BulgariaSchool of Mathematics, Statistics and Applied Mathematics, National University of Ireland, H91 TK33 Galway, IrelandIn 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.https://www.mdpi.com/2227-7390/8/1/32riemann-liouville fractional derivativeconstant delayinitial value problemlinear fractional equationexplicit solution
collection DOAJ
language English
format Article
sources DOAJ
author Ravi Agarwal
Snezhana Hristova
Donal O’Regan
spellingShingle Ravi Agarwal
Snezhana Hristova
Donal O’Regan
Explicit Solutions of Initial Value Problems for Linear Scalar Riemann-Liouville Fractional Differential Equations With a Constant Delay
Mathematics
riemann-liouville fractional derivative
constant delay
initial value problem
linear fractional equation
explicit solution
author_facet Ravi Agarwal
Snezhana Hristova
Donal O’Regan
author_sort Ravi Agarwal
title Explicit Solutions of Initial Value Problems for Linear Scalar Riemann-Liouville Fractional Differential Equations With a Constant Delay
title_short Explicit Solutions of Initial Value Problems for Linear Scalar Riemann-Liouville Fractional Differential Equations With a Constant Delay
title_full Explicit Solutions of Initial Value Problems for Linear Scalar Riemann-Liouville Fractional Differential Equations With a Constant Delay
title_fullStr Explicit Solutions of Initial Value Problems for Linear Scalar Riemann-Liouville Fractional Differential Equations With a Constant Delay
title_full_unstemmed Explicit Solutions of Initial Value Problems for Linear Scalar Riemann-Liouville Fractional Differential Equations With a Constant Delay
title_sort explicit solutions of initial value problems for linear scalar riemann-liouville fractional differential equations with a constant delay
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-12-01
description 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.
topic riemann-liouville fractional derivative
constant delay
initial value problem
linear fractional equation
explicit solution
url https://www.mdpi.com/2227-7390/8/1/32
work_keys_str_mv AT raviagarwal explicitsolutionsofinitialvalueproblemsforlinearscalarriemannliouvillefractionaldifferentialequationswithaconstantdelay
AT snezhanahristova explicitsolutionsofinitialvalueproblemsforlinearscalarriemannliouvillefractionaldifferentialequationswithaconstantdelay
AT donaloregan explicitsolutionsofinitialvalueproblemsforlinearscalarriemannliouvillefractionaldifferentialequationswithaconstantdelay
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