Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits
A new fractional derivative with a non-singular kernel involving exponential and trigonometric functions is proposed in this paper. The suggested fractional operator includes as a special case Caputo-Fabrizio fractional derivative. Theoretical and numerical studies of fractional differential equatio...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2020-03-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2020.00064/full |
| _version_ | 1811193834314399744 |
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| author | Amal Alshabanat Mohamed Jleli Sunil Kumar Bessem Samet |
| author_facet | Amal Alshabanat Mohamed Jleli Sunil Kumar Bessem Samet |
| author_sort | Amal Alshabanat |
| collection | DOAJ |
| description | A new fractional derivative with a non-singular kernel involving exponential and trigonometric functions is proposed in this paper. The suggested fractional operator includes as a special case Caputo-Fabrizio fractional derivative. Theoretical and numerical studies of fractional differential equations involving this new concept are presented. Next, some applications to RC-electrical circuits are provided. |
| first_indexed | 2024-04-12T00:16:05Z |
| format | Article |
| id | doaj.art-b01234c2de57432c9235fc9de337a596 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-12T00:16:05Z |
| publishDate | 2020-03-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-b01234c2de57432c9235fc9de337a5962022-12-22T03:55:50ZengFrontiers Media S.A.Frontiers in Physics2296-424X2020-03-01810.3389/fphy.2020.00064522864Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical CircuitsAmal Alshabanat0Mohamed Jleli1Sunil Kumar2Bessem Samet3Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, National Institute of Technology, Jamshedpur, IndiaDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaA new fractional derivative with a non-singular kernel involving exponential and trigonometric functions is proposed in this paper. The suggested fractional operator includes as a special case Caputo-Fabrizio fractional derivative. Theoretical and numerical studies of fractional differential equations involving this new concept are presented. Next, some applications to RC-electrical circuits are provided.https://www.frontiersin.org/article/10.3389/fphy.2020.00064/fullfractional derivativenon-singular kernelPicard iterationRC-electrical circuitconvergence |
| spellingShingle | Amal Alshabanat Mohamed Jleli Sunil Kumar Bessem Samet Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits Frontiers in Physics fractional derivative non-singular kernel Picard iteration RC-electrical circuit convergence |
| title | Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits |
| title_full | Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits |
| title_fullStr | Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits |
| title_full_unstemmed | Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits |
| title_short | Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits |
| title_sort | generalization of caputo fabrizio fractional derivative and applications to electrical circuits |
| topic | fractional derivative non-singular kernel Picard iteration RC-electrical circuit convergence |
| url | https://www.frontiersin.org/article/10.3389/fphy.2020.00064/full |
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