IJPAM: Volume 119, No. 1 (2018)

Title

INTEGRAL REPRESENTATION OF THE SOLUTION OF
THE CAUCHY PROBLEM FOR AUTONOMOUS LINEAR
NEUTRAL FRACTIONAL SYSTEM

Authors

Angel Golev$^1$, Marian Milev$^2$
$^1$Faculty of Mathematics and Informatics
University of Plovdiv
4 Tzar Asen, 4000 Plovdiv, BULGARIA
$^2$Department of Informatics and Statistics
University of Food Technology
26 Maritsa Blvd., 4000 Plovdiv, BULGARIA

Abstract

The aim of the paper is to obtain a variation of constant formula for an autonomous linear fractional neutral system with Caputo type derivatives and multiple delays. The obtained results improve and extend the corresponding results even in the particular case of fractional system with one constant delay and coincide with the corresponding ones in the case of first order neutral linear differential system.

History

Received: March 10, 2018
Revised: June 8, 2018
Published: June 20, 2018

AMS Classification, Key Words

AMS Subject Classification: 34A08, 34A30
Key Words and Phrases: fractional derivatives, neutral fractional system, general solution

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Bibliography

1
B. Bonilla,M. Rivero, J. Trujillo, On systems of linear fractional differential equations with constant coefficients, Appl. Math. Comput. 187 No. 1 (2007), 68-78.

2
D. Boyadzhiev, H. Kiskinov, M. Veselinova, A. Zahariev, Stability analysis of linear distributed order fractional systems with distributed delays, Fract. Calc. Appl. Anal. 20, No. 4 (2017), 914-935; doi: 10.1515/fca-2017-0048.

How to Cite?

DOI: 10.12732/ijpam.v119i1.19 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 119
Issue: 1
Pages: 235 - 247


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