A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications
We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. Our study includes the cases for a single base point fractional differential equation as well as multiple base poi...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/194346 |
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| _version_ | 1832564798856888320 |
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| author | Yuji Liu Bashir Ahmad |
| author_facet | Yuji Liu Bashir Ahmad |
| author_sort | Yuji Liu |
| collection | DOAJ |
| description | We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. Our study includes the cases for a single base point fractional differential equation as well as multiple base points fractional differential equation. The asymptotic behavior of solutions for the problems is also investigated. We demonstrate the utility of our work by applying the main results to fractional-order logistic models. |
| format | Article |
| id | doaj-art-0cf9a21265544881a001e968bab802f3 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-0cf9a21265544881a001e968bab802f32025-02-03T01:10:06ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/194346194346A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and ApplicationsYuji Liu0Bashir Ahmad1Department of Mathematics, Guangdong University of Business Studies, Guangzhou 510320, ChinaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. Our study includes the cases for a single base point fractional differential equation as well as multiple base points fractional differential equation. The asymptotic behavior of solutions for the problems is also investigated. We demonstrate the utility of our work by applying the main results to fractional-order logistic models.http://dx.doi.org/10.1155/2014/194346 |
| spellingShingle | Yuji Liu Bashir Ahmad A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications The Scientific World Journal |
| title | A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications |
| title_full | A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications |
| title_fullStr | A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications |
| title_full_unstemmed | A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications |
| title_short | A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications |
| title_sort | study of impulsive multiterm fractional differential equations with single and multiple base points and applications |
| url | http://dx.doi.org/10.1155/2014/194346 |
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