Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications
We use Sadovskii's fixed point method to investigate the existence and uniqueness of solutions of Caputo impulsive fractional differential equations of order with one example of impulsive logistic model and few other examples as well. We also discuss Caputo impulsive fractional differential eq...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2013/704547 |
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| _version_ | 1832561688995430400 |
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| author | Lakshman Mahto Syed Abbas Angelo Favini |
| author_facet | Lakshman Mahto Syed Abbas Angelo Favini |
| author_sort | Lakshman Mahto |
| collection | DOAJ |
| description | We use Sadovskii's fixed point method to investigate the existence and uniqueness of solutions of Caputo impulsive fractional differential equations of order with one example of impulsive logistic model and few other examples as well. We also discuss Caputo impulsive fractional differential equations with finite delay. The results proven are new and compliment the existing one. |
| format | Article |
| id | doaj-art-1c47517556204f2c9ab97756b7291c32 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-1c47517556204f2c9ab97756b7291c322025-02-03T01:24:25ZengWileyInternational Journal of Differential Equations1687-96431687-96512013-01-01201310.1155/2013/704547704547Analysis of Caputo Impulsive Fractional Order Differential Equations with ApplicationsLakshman Mahto0Syed Abbas1Angelo Favini2School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh 175001, IndiaSchool of Basic Sciences, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh 175001, IndiaDipartimento di Matematica, Universitá di Bologna, Pizza di Porta S. Donato 5, 40126 Bologna, ItalyWe use Sadovskii's fixed point method to investigate the existence and uniqueness of solutions of Caputo impulsive fractional differential equations of order with one example of impulsive logistic model and few other examples as well. We also discuss Caputo impulsive fractional differential equations with finite delay. The results proven are new and compliment the existing one.http://dx.doi.org/10.1155/2013/704547 |
| spellingShingle | Lakshman Mahto Syed Abbas Angelo Favini Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications International Journal of Differential Equations |
| title | Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications |
| title_full | Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications |
| title_fullStr | Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications |
| title_full_unstemmed | Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications |
| title_short | Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications |
| title_sort | analysis of caputo impulsive fractional order differential equations with applications |
| url | http://dx.doi.org/10.1155/2013/704547 |
| work_keys_str_mv | AT lakshmanmahto analysisofcaputoimpulsivefractionalorderdifferentialequationswithapplications AT syedabbas analysisofcaputoimpulsivefractionalorderdifferentialequationswithapplications AT angelofavini analysisofcaputoimpulsivefractionalorderdifferentialequationswithapplications |