Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method
The telegraph equations are a pair of linear differential equations which describe the voltage andcurrent on an electrical transmission line with distance and time. In this paper the authors give a briefoverview of fractional calculus and extend its application to space-time fractional telegraph equ...
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| Format: | Article |
| Language: | English |
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Naim Çağman
2018-03-01
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| Series: | Journal of New Theory |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/470385 |
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| _version_ | 1850188826738163712 |
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| author | Manzoor Ahmad Altaf Ahmad Bhat Renu Jain |
| author_facet | Manzoor Ahmad Altaf Ahmad Bhat Renu Jain |
| author_sort | Manzoor Ahmad |
| collection | DOAJ |
| description | The telegraph equations are a pair of linear differential equations which describe the voltage andcurrent on an electrical transmission line with distance and time. In this paper the authors give a briefoverview of fractional calculus and extend its application to space-time fractional telegraph equation by usingAdomian decomposition method. The time- space derivates are considered as Caputo fractional derivate. Thesolutions are obtained in the series form. |
| format | Article |
| id | doaj-art-8cced4fface1479aa66b718b1a4f84a4 |
| institution | OA Journals |
| issn | 2149-1402 |
| language | English |
| publishDate | 2018-03-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-8cced4fface1479aa66b718b1a4f84a42025-08-20T02:15:47ZengNaim ÇağmanJournal of New Theory2149-14022018-03-012273812425Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition MethodManzoor AhmadAltaf Ahmad BhatRenu JainThe telegraph equations are a pair of linear differential equations which describe the voltage andcurrent on an electrical transmission line with distance and time. In this paper the authors give a briefoverview of fractional calculus and extend its application to space-time fractional telegraph equation by usingAdomian decomposition method. The time- space derivates are considered as Caputo fractional derivate. Thesolutions are obtained in the series form. https://dergipark.org.tr/en/download/article-file/470385adomian decomposition methodtime-space fractional telegraph equation |
| spellingShingle | Manzoor Ahmad Altaf Ahmad Bhat Renu Jain Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method Journal of New Theory adomian decomposition method time-space fractional telegraph equation |
| title | Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method |
| title_full | Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method |
| title_fullStr | Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method |
| title_full_unstemmed | Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method |
| title_short | Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method |
| title_sort | space time fractional telegraph equation and its application by using adomian decomposition method |
| topic | adomian decomposition method time-space fractional telegraph equation |
| url | https://dergipark.org.tr/en/download/article-file/470385 |
| work_keys_str_mv | AT manzoorahmad spacetimefractionaltelegraphequationanditsapplicationbyusingadomiandecompositionmethod AT altafahmadbhat spacetimefractionaltelegraphequationanditsapplicationbyusingadomiandecompositionmethod AT renujain spacetimefractionaltelegraphequationanditsapplicationbyusingadomiandecompositionmethod |