Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology |
| |
| Authors: | Dipankar Kumar Aly R Seadawy Atish Kumar Joardar |
| |
| Institution: | 1. Graduate School of Systems and Information Engineering, University of Tsukuba, Tennodai 1-1-1, Tsukuba, Ibaraki, Japan;2. Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj 8100, Bangladesh;3. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia;4. Mathematics Department, Faculty of Science, Beni-Suef University, Egypt;5. Department of Mathematics, Islamic University, Kushtia, Bangladesh |
| |
| Abstract: | In this study, the modified Kudryashov method is used to construct new exact solutions for some conformable fractional differential equations. By implementing the conformable fractional derivative and compatible fractional complex transforms, the fractional generalized reaction duffing (RD) model equation, the fractional biological population model and the fractional diffusion reaction (DR) equation with quadratic and cubic nonlinearity are discussed. As an outcome, some new exact solutions are formally established. All solutions have been verified back into its corresponding equation with the aid of maple package program. We assure that the employed method is simple and robust for the estimation of the new exact solutions, and practically capable for reducing the size of computational work for solving a various class of fractional differential equations arising in applied mathematics, mathematical physics and biology. |
| |
| Keywords: | Fractional generalized reaction duffing equations Fractional biological population model Fractional diffusion-reaction equation Conformable derivative Modified Kudryashov method Symbolic computation Exact solutions |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
