Exact solutions for nonlinear fractional differential equations using exponential rational function method

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• 作者：Syed Tauseef Mohyud-Din ; Sadaf Bibi
• 关键词：Modified Riemann–Liouville derivative ; Exponential rational function method ; Exact solutions ; Space–time fractional order Boussinesq equation ; Space–time fractional order SRLW equation ; (2 + 1) ; dimensional breaking soliton equations
• 刊名：Optical and Quantum Electronics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：49
• 期：2
• 全文大小：
• 刊物主题：Optics, Lasers, Photonics, Optical Devices; Electrical Engineering; Characterization and Evaluation of Materials; Computer Communication Networks;
• 出版者：Springer US
• ISSN：1572-817X
• 卷排序：49

文摘

Exponential rational function method is a relatively new mechanism to get exact solutions of nonlinear fractional differential equations. In this paper, fractional derivatives in the sense of Jumarie’s modified Riemann–Liouville are defined. Fractional complex transform is used to convert fractional differential equations into ordinary differential equations. This method is more appropriate for solving different kind of nonlinear fractional differential equations emerging in mathematical physics.