Representation of solution for a linear fractional delay differential equation of Hadamard type

Representation of solution for a linear fractional delay differential equation of Hadamard type

Abstract This paper is devoted to seeking the representation of solutions to a linear fractional delay differential equation of Hadamard type. By introducing the Mittag-Leffler delay matrix functions with logarithmic functions and analyzing their properties, we derive the representation of solutions...

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Bibliographic Details
Main Authors: Peng Yang, JinRong Wang, Yong Zhou
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Advances in Difference Equations
Subjects:
Hadamard
Linear fractional delay differential equation
Mittag-Leffler delay matrix functions
Representation of solutions
Online Access:http://link.springer.com/article/10.1186/s13662-019-2246-6
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spelling doaj-98f063f24d994d9ca276d3f9af65bc3f2020-11-25T03:22:49ZengSpringerOpenAdvances in Difference Equations1687-18472019-07-01201911710.1186/s13662-019-2246-6Representation of solution for a linear fractional delay differential equation of Hadamard typePeng Yang0JinRong Wang1Yong Zhou2Department of Mathematics, Guizhou UniversityDepartment of Mathematics, Guizhou UniversityDepartment of Mathematics, Xiangtan UniversityAbstract This paper is devoted to seeking the representation of solutions to a linear fractional delay differential equation of Hadamard type. By introducing the Mittag-Leffler delay matrix functions with logarithmic functions and analyzing their properties, we derive the representation of solutions via the constant variation method.http://link.springer.com/article/10.1186/s13662-019-2246-6HadamardLinear fractional delay differential equationMittag-Leffler delay matrix functionsRepresentation of solutions
collection DOAJ
language English
format Article
sources DOAJ
author Peng Yang
JinRong Wang
Yong Zhou
spellingShingle Peng Yang
JinRong Wang
Yong Zhou
Representation of solution for a linear fractional delay differential equation of Hadamard type
Advances in Difference Equations
Hadamard
Linear fractional delay differential equation
Mittag-Leffler delay matrix functions
Representation of solutions
author_facet Peng Yang
JinRong Wang
Yong Zhou
author_sort Peng Yang
title Representation of solution for a linear fractional delay differential equation of Hadamard type
title_short Representation of solution for a linear fractional delay differential equation of Hadamard type
title_full Representation of solution for a linear fractional delay differential equation of Hadamard type
title_fullStr Representation of solution for a linear fractional delay differential equation of Hadamard type
title_full_unstemmed Representation of solution for a linear fractional delay differential equation of Hadamard type
title_sort representation of solution for a linear fractional delay differential equation of hadamard type
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-07-01
description Abstract This paper is devoted to seeking the representation of solutions to a linear fractional delay differential equation of Hadamard type. By introducing the Mittag-Leffler delay matrix functions with logarithmic functions and analyzing their properties, we derive the representation of solutions via the constant variation method.
topic Hadamard
Linear fractional delay differential equation
Mittag-Leffler delay matrix functions
Representation of solutions
url http://link.springer.com/article/10.1186/s13662-019-2246-6
work_keys_str_mv AT pengyang representationofsolutionforalinearfractionaldelaydifferentialequationofhadamardtype
AT jinrongwang representationofsolutionforalinearfractionaldelaydifferentialequationofhadamardtype
AT yongzhou representationofsolutionforalinearfractionaldelaydifferentialequationofhadamardtype
_version_ 1724609379558227968

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