The modified Kudryashov method for solving some fractional-order nonlinear equations
| Autor: | Serife Muge Ege, Emine Misirli |
|---|---|
| Přispěvatelé: | Ege Üniversitesi |
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
fractional partial differential equations
Algebra and Number Theory modified Kudryashov method Differential equation Applied Mathematics Mathematical analysis First-order partial differential equation the space-time fractional modified Benjamin-Bona-Mahony equation Integrating factor Fractional calculus Examples of differential equations Stochastic partial differential equation Nonlinear Sciences::Exactly Solvable and Integrable Systems the space-time fractional potential Kadomtsev-Petviashvili equation Hyperbolic partial differential equation Differential algebraic equation Analysis Mathematics |
| Popis: | WOS: 000342084800001 In this paper, the modified Kudryashov method is proposed to solve fractional differential equations, and Jumarie's modified Riemann-Liouville derivative is used to convert nonlinear partial fractional differential equation to nonlinear ordinary differential equations. The modified Kudryashov method is applied to compute an approximation to the solutions of the space-time fractional modified Benjamin-Bona-Mahony equation and the space-time fractional potential Kadomtsev-Petviashvili equation. As a result, many analytical exact solutions are obtained including symmetrical Fibonacci function solutions, hyperbolic function solutions, and rational solutions. This method is powerful, efficient, and it can be used as an alternative to establish new solutions of different types of fractional differential equations applied in mathematical physics. Ege University, Scientific Research Project (BAP)Ege University [2012FEN037] This research is supported by Ege University, Scientific Research Project (BAP), Project Number: 2012FEN037. |
| Databáze: | OpenAIRE |
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