http://repository.iitr.ac.in/handle/123456789/14781| Title: | Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses |
| Authors: | Gautam G.R. Dabas J. |
| Published in: | Applied Mathematics and Computation |
| Abstract: | This article contains the existence results of the mild solutions of an abstract semilinear neutral fractional differential equations with not instantaneous impulses. The results are proved by using the theory of analytic α-resolvent family and fixed point theorems. One application involving partial differential equations with impulses are presented. © 2015 Published by Elsevier Inc. |
| Citation: | Applied Mathematics and Computation (2015), 259(): 480-489 |
| URI: | https://doi.org/10.1016/j.amc.2015.02.069 http://repository.iitr.ac.in/handle/123456789/14781 |
| Issue Date: | 2015 |
| Publisher: | Elsevier Inc. |
| Keywords: | Fixed point theorems Fractional order differential equation Impulse Initial conditions |
| ISSN: | 963003 |
| Author Scopus IDs: | 55967443000 23396271700 |
| Author Affiliations: | Gautam, G.R., Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur, 247001, India Dabas, J., Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur, 247001, India |
| Funding Details: | The authors express their deep gratitude to the referees for their valuable suggestions and comments for improvement of the paper. The research of J. Dabas has been partially supported by Department of Science & Technology , Project No. SR/FTP/MS-030/2011. |
| Corresponding Author: | Gautam, G.R.; Department of Applied Science and Engineering, IIT Roorkee, Saharanpur CampusIndia |
| Appears in Collections: | Journal Publications [PE] |
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