Exact Solutions with Variable Coefficient Function Forms for Conformable Fractional Partial Differential Equations by an Auxiliary Equation Method
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DOI: 10.1155/2018/4596506
Abstract: In this paper, an auxiliary equation method is introduced for seeking exact solutions expressed in variable coefficient function forms for fractional partial differential equations, where the concerned fractional derivative is defined by the conformable fractional… read more here.
Keywords: auxiliary equation; variable coefficient; equation; exact solutions ... See more keywords
The extended auxiliary equation mapping method to determine novel exact solitary wave solutions of the nonlinear fractional PDEs
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DOI: 10.1515/ijnsns-2019-0279
Abstract: Abstract In this paper, some new nonlinear fractional partial differential equations (PDEs) have been considered.Three models are including the space-time fractional-order Boussinesq equation, space-time (2 + 1)-dimensional breaking soliton equations, and space-time fractional-order SRLW equation… read more here.
Keywords: fractional pdes; nonlinear fractional; equation mapping; extended auxiliary ... See more keywords