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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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-07-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2246-6 |
| _version_ | 1818334420320387072 |
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| author | Peng Yang JinRong Wang Yong Zhou |
| author_facet | Peng Yang JinRong Wang Yong Zhou |
| author_sort | Peng Yang |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-13T14:07:15Z |
| format | Article |
| id | doaj.art-98f063f24d994d9ca276d3f9af65bc3f |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-13T14:07:15Z |
| publishDate | 2019-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-98f063f24d994d9ca276d3f9af65bc3f2022-12-21T23:42:34ZengSpringerOpenAdvances 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 |
| 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 |
| title | 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_short | 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 |
| 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 |