Representation of solutions for linear fractional systems with pure delay and multiple delays
Ahmed M. Elshenhab, Xing Tao Wang
Abstract
Nonhomogeneous systems of linear fractional equations with pure delay and multiple delays with linear parts given by permutable or nonpermutable matrices are considered. Representations of their solutions are obtained by using delayed Mittag–Leffler type matrix functions and Laplace transform. Our results are new and extend previous results.
Topics & Concepts
MathematicsLaplace transformPermutable primeRepresentation (politics)Applied mathematicsMatrix (chemical analysis)Linear systemType (biology)Mathematical analysisPure mathematicsComposite materialEcologyPolitical scienceMaterials sciencePoliticsBiologyLawFractional Differential Equations SolutionsMatrix Theory and AlgorithmsNonlinear Differential Equations Analysis