http://repository.iitr.ac.in/handle/123456789/14858| Title: | Solvability of Fractional Order Semi-linear Stochastic Impulsive Differential Equation with State-Dependent Delay |
| Authors: | Nadeem M. Dabas J. |
| Published in: | Proceedings of the National Academy of Sciences India Section A - Physical Sciences |
| Abstract: | In this paper, we present a mathematical model of fractional order semi-linear functional stochastic differential equations with impulsive effects in a Hilbert space. The sufficient conditions of the existence and uniqueness of mild solutions for the considered problem are proved by using the classical fixed point theorems. Finally, we presented two examples to verify the results. © 2019, The National Academy of Sciences, India. |
| Citation: | Proceedings of the National Academy of Sciences India Section A - Physical Sciences (2020), 90(3): 411-419 |
| URI: | https://doi.org/10.1007/s40010-019-00604-9 http://repository.iitr.ac.in/handle/123456789/14858 |
| Issue Date: | 2020 |
| Publisher: | Springer |
| Keywords: | Existence results Fractional order differential equation Impulsive conditions Stochastic functional differential equations |
| ISSN: | 3698203 |
| Author Scopus IDs: | 57014605000 23396271700 |
| Author Affiliations: | Nadeem, M., Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur, U.P. 247001, India Dabas, J., Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur, U.P. 247001, India |
| Corresponding Author: | Nadeem, M.; Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, India; email: mohdnadeem.jmi@gmail.com |
| Appears in Collections: | Journal Publications [PE] |
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