Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative
The current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative. We have employed the modified simple equation...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2018-05-01
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| Series: | Arab Journal of Basic and Applied Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/25765299.2018.1449348 |
| _version_ | 1818450534481264640 |
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| author | Melike Kaplan Arzu Akbulut |
| author_facet | Melike Kaplan Arzu Akbulut |
| author_sort | Melike Kaplan |
| collection | DOAJ |
| description | The current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative. We have employed the modified simple equation and exp( method here for the approximate long water wave equation. We have adopted here the fractional complex transform accompanied by properties of conformable fractional calculus for reduction of fractional partial differential equation systems to ordinary differential equation systems. |
| first_indexed | 2024-12-14T20:52:50Z |
| format | Article |
| id | doaj.art-502987e6170346c1a3e8f0c2f03fc2ac |
| institution | Directory Open Access Journal |
| issn | 2576-5299 |
| language | English |
| last_indexed | 2024-12-14T20:52:50Z |
| publishDate | 2018-05-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj.art-502987e6170346c1a3e8f0c2f03fc2ac2022-12-21T22:47:46ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992018-05-01252778410.1080/25765299.2018.14493481449348Application of two different algorithms to the approximate long water wave equation with conformable fractional derivativeMelike Kaplan0Arzu Akbulut1Kastamonu UniversityEskisehir Osmangazi UniversityThe current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative. We have employed the modified simple equation and exp( method here for the approximate long water wave equation. We have adopted here the fractional complex transform accompanied by properties of conformable fractional calculus for reduction of fractional partial differential equation systems to ordinary differential equation systems.http://dx.doi.org/10.1080/25765299.2018.1449348Exact solutionssymbolic computationfractional differential equations |
| spellingShingle | Melike Kaplan Arzu Akbulut Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative Arab Journal of Basic and Applied Sciences Exact solutions symbolic computation fractional differential equations |
| title | Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative |
| title_full | Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative |
| title_fullStr | Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative |
| title_full_unstemmed | Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative |
| title_short | Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative |
| title_sort | application of two different algorithms to the approximate long water wave equation with conformable fractional derivative |
| topic | Exact solutions symbolic computation fractional differential equations |
| url | http://dx.doi.org/10.1080/25765299.2018.1449348 |
| work_keys_str_mv | AT melikekaplan applicationoftwodifferentalgorithmstotheapproximatelongwaterwaveequationwithconformablefractionalderivative AT arzuakbulut applicationoftwodifferentalgorithmstotheapproximatelongwaterwaveequationwithconformablefractionalderivative |