The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations
By using fractional calculus and the summation by parts formula in this paper, the asymptotic behaviours of solutions of nonlinear neutral fractional delay pantograph equations with continuous arguments are investigated. The asymptotic estimates of solutions for the equation are obtained, which may...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/6971743 |
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| author | Baojun Miao Xuechen Li |
| author_facet | Baojun Miao Xuechen Li |
| author_sort | Baojun Miao |
| collection | DOAJ |
| description | By using fractional calculus and the summation by parts formula in this paper, the asymptotic behaviours of solutions of nonlinear neutral fractional delay pantograph equations with continuous arguments are investigated. The asymptotic estimates of solutions for the equation are obtained, which may imply asymptotic stability of solutions. In the end, a particular case is provided to illustrate the main result and the speed of the convergence of the obtained solutions. |
| format | Article |
| id | doaj-art-9276096d00df4d80ad161d32e52e963d |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-9276096d00df4d80ad161d32e52e963d2025-02-03T05:52:39ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/69717436971743The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential EquationsBaojun Miao0Xuechen Li1School of Mathematics and Statistics, Xuchang University, Xuchang 461000, ChinaSchool of Mathematics and Statistics, Xuchang University, Xuchang 461000, ChinaBy using fractional calculus and the summation by parts formula in this paper, the asymptotic behaviours of solutions of nonlinear neutral fractional delay pantograph equations with continuous arguments are investigated. The asymptotic estimates of solutions for the equation are obtained, which may imply asymptotic stability of solutions. In the end, a particular case is provided to illustrate the main result and the speed of the convergence of the obtained solutions.http://dx.doi.org/10.1155/2017/6971743 |
| spellingShingle | Baojun Miao Xuechen Li The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations Advances in Mathematical Physics |
| title | The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations |
| title_full | The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations |
| title_fullStr | The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations |
| title_full_unstemmed | The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations |
| title_short | The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations |
| title_sort | asymptotic behaviours of a class of neutral delay fractional order pantograph differential equations |
| url | http://dx.doi.org/10.1155/2017/6971743 |
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