Representation of solutions for linear fractional systems with pure delay and multiple delays

Ahmed M. Elshenhab; Xing Tao Wang

doi:10.1002/mma.7585

Representation of solutions for linear fractional systems with pure delay and multiple delays

Ahmed M. Elshenhab^*
, Xing Tao Wang

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology
Mansoura University

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

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.

Original language	English
Pages (from-to)	12835-12850
Number of pages	16
Journal	Mathematical Methods in the Applied Sciences
Volume	44
Issue number	17
DOIs	https://doi.org/10.1002/mma.7585
State	Published - 30 Nov 2021
Externally published	Yes

Keywords

delayed matrix Mittag–Leffler function
laplace transform
linear functional-differential equations
nonpermutable matrices
representation of solutions

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10.1002/mma.7585

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title = "Representation of solutions for linear fractional systems with pure delay and multiple delays",

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.",

keywords = "delayed matrix Mittag–Leffler function, laplace transform, linear functional-differential equations, nonpermutable matrices, representation of solutions",

author = "Elshenhab, \{Ahmed M.\} and Wang, \{Xing Tao\}",

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year = "2021",

month = nov,

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T1 - Representation of solutions for linear fractional systems with pure delay and multiple delays

AU - Elshenhab, Ahmed M.

AU - Wang, Xing Tao

PY - 2021/11/30

Y1 - 2021/11/30

N2 - 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.

AB - 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.

KW - delayed matrix Mittag–Leffler function

KW - laplace transform

KW - linear functional-differential equations

KW - nonpermutable matrices

KW - representation of solutions

UR - https://www.scopus.com/pages/publications/85108211454

U2 - 10.1002/mma.7585

DO - 10.1002/mma.7585

M3 - 文章

AN - SCOPUS:85108211454

SN - 0170-4214

VL - 44

SP - 12835

EP - 12850

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 17

ER -

Representation of solutions for linear fractional systems with pure delay and multiple delays

Abstract

Keywords

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