Analytic Solution for the RL Electric Circuit Model in Fractional Order
This paper provides an analytic solution of RL electrical circuit described by a fractional differential equation of the order 0<α≤1. We use the Laplace transform of the fractional derivative in the Caputo sense. Some special cases for the different source terms have also been discussed.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/343814 |
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| _version_ | 1849682830024507392 |
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| author | P. V. Shah A. D. Patel I. A. Salehbhai A. K. Shukla |
| author_facet | P. V. Shah A. D. Patel I. A. Salehbhai A. K. Shukla |
| author_sort | P. V. Shah |
| collection | DOAJ |
| description | This paper provides an analytic solution of RL electrical circuit described by a fractional differential equation of the order 0<α≤1. We use the Laplace transform of the fractional derivative in the Caputo sense. Some special cases for the different source terms have also been discussed. |
| format | Article |
| id | doaj-art-cae4d20326164ccf9efdb92bdb3d6ab4 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cae4d20326164ccf9efdb92bdb3d6ab42025-08-20T03:24:04ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/343814343814Analytic Solution for the RL Electric Circuit Model in Fractional OrderP. V. Shah0A. D. Patel1I. A. Salehbhai2A. K. Shukla3Department of Applied Mathematics and Humanities, S.V. National Institute of Technology, Surat, Gujarat 395007, IndiaS.R. Rotary Institute of Chemical Technology, Vataria, Bharuch 393002, IndiaDepartment of Mathematics, V. N. South Gujarat University, Surat 395007, IndiaDepartment of Applied Mathematics and Humanities, S.V. National Institute of Technology, Surat, Gujarat 395007, IndiaThis paper provides an analytic solution of RL electrical circuit described by a fractional differential equation of the order 0<α≤1. We use the Laplace transform of the fractional derivative in the Caputo sense. Some special cases for the different source terms have also been discussed.http://dx.doi.org/10.1155/2014/343814 |
| spellingShingle | P. V. Shah A. D. Patel I. A. Salehbhai A. K. Shukla Analytic Solution for the RL Electric Circuit Model in Fractional Order Abstract and Applied Analysis |
| title | Analytic Solution for the RL Electric Circuit Model in Fractional Order |
| title_full | Analytic Solution for the RL Electric Circuit Model in Fractional Order |
| title_fullStr | Analytic Solution for the RL Electric Circuit Model in Fractional Order |
| title_full_unstemmed | Analytic Solution for the RL Electric Circuit Model in Fractional Order |
| title_short | Analytic Solution for the RL Electric Circuit Model in Fractional Order |
| title_sort | analytic solution for the rl electric circuit model in fractional order |
| url | http://dx.doi.org/10.1155/2014/343814 |
| work_keys_str_mv | AT pvshah analyticsolutionfortherlelectriccircuitmodelinfractionalorder AT adpatel analyticsolutionfortherlelectriccircuitmodelinfractionalorder AT iasalehbhai analyticsolutionfortherlelectriccircuitmodelinfractionalorder AT akshukla analyticsolutionfortherlelectriccircuitmodelinfractionalorder |