Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay
This paper deals with an alternative approximate analytic solution to time fractional partial differential equations (TFPDEs) with proportional delay, obtained by using fractional variational iteration method, where the fractional derivative is taken in Caputo sense. The proposed series solutions ar...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2017/5206380 |
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| _version_ | 1832565166343979008 |
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| author | Brajesh Kumar Singh Pramod Kumar |
| author_facet | Brajesh Kumar Singh Pramod Kumar |
| author_sort | Brajesh Kumar Singh |
| collection | DOAJ |
| description | This paper deals with an alternative approximate analytic solution to time fractional partial differential equations (TFPDEs) with proportional delay, obtained by using fractional variational iteration method, where the fractional derivative is taken in Caputo sense. The proposed series solutions are found to converge to exact solution rapidly. To confirm the efficiency and validity of FRDTM, the computation of three test problems of TFPDEs with proportional delay was presented. The scheme seems to be very reliable, effective, and efficient powerful technique for solving various types of physical models arising in science and engineering. |
| format | Article |
| id | doaj-art-5cc30d6f32354d3f8c17a5fe31d67c31 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-5cc30d6f32354d3f8c17a5fe31d67c312025-02-03T01:09:08ZengWileyInternational Journal of Differential Equations1687-96431687-96512017-01-01201710.1155/2017/52063805206380Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional DelayBrajesh Kumar Singh0Pramod Kumar1Department of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226 025, IndiaDepartment of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226 025, IndiaThis paper deals with an alternative approximate analytic solution to time fractional partial differential equations (TFPDEs) with proportional delay, obtained by using fractional variational iteration method, where the fractional derivative is taken in Caputo sense. The proposed series solutions are found to converge to exact solution rapidly. To confirm the efficiency and validity of FRDTM, the computation of three test problems of TFPDEs with proportional delay was presented. The scheme seems to be very reliable, effective, and efficient powerful technique for solving various types of physical models arising in science and engineering.http://dx.doi.org/10.1155/2017/5206380 |
| spellingShingle | Brajesh Kumar Singh Pramod Kumar Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay International Journal of Differential Equations |
| title | Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay |
| title_full | Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay |
| title_fullStr | Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay |
| title_full_unstemmed | Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay |
| title_short | Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay |
| title_sort | fractional variational iteration method for solving fractional partial differential equations with proportional delay |
| url | http://dx.doi.org/10.1155/2017/5206380 |
| work_keys_str_mv | AT brajeshkumarsingh fractionalvariationaliterationmethodforsolvingfractionalpartialdifferentialequationswithproportionaldelay AT pramodkumar fractionalvariationaliterationmethodforsolvingfractionalpartialdifferentialequationswithproportionaldelay |