Caputo and related fractional derivatives in singular systems
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|Title:||Caputo and related fractional derivatives in singular systems||Authors:||Dassios, Ioannis K.
|Permanent link:||http://hdl.handle.net/10197/10589||Date:||15-Nov-2018||Online since:||2019-05-21T14:09:07Z||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.||Funding Details:||Science Foundation Ireland||Type of material:||Journal Article||Publisher:||Elsevier||Journal:||Applied Mathematics and Computation||Volume:||337||Start page:||591||End page:||606||Copyright (published version):||2018 Elsevier||Keywords:||Singular; Systems; Fractional; Derivative; Caputo; Initial conditions||DOI:||10.1016/j.amc.2018.05.005||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Electrical and Electronic Engineering Research Collection|
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