Caputo and Related Fractional Derivatives in Singular Systems
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science inc
Open Access Color
HYBRID
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
Yes
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
By using the Caputo (C) fractional derivative and two recently defined alternative versions of this derivative, the Caputo-Fabrizio (CF) and the Atangana-Baleanu (AB) fractional derivative, firstly we focus on singular linear systems of fractional differential equations with constant coefficients that can be non-square matrices, or square & singular. We study existence of solutions and provide formulas for the case that there do exist solutions. Then, we study the existence of unique solution for given initial conditions. Several numerical examples are given to justify our theory. (C) 2018 Elsevier Inc. All rights reserved.
Description
Keywords
Singular, Systems, Fractional, Derivative, Caputo, Initial Conditions, Caputo, Fractional, Initial conditions, Systems, Singular, Derivative, fractional derivative, Fractional ordinary differential equations, initial conditions, Fractional derivatives and integrals, Linear systems in control theory, singular systems, Discrete version of topics in analysis
Fields of Science
0209 industrial biotechnology, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology
Citation
Dassios, Ioannis K.; Baleanu, Dumitru, I, "Caputo and related fractional derivatives in singular systems", Applied Mathematics and Computation, Vol. 337, pp. 591-606, (2018).
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
21
Source
Applied Mathematics and Computation
Volume
337
Issue
Start Page
591
End Page
606
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Scopus : 56
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