Submitted:
15 December 2016
Posted:
16 December 2016
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Abstract
The exact solutions of some conformable time fractional PDEs are presented explicitly. The modified Kudryashov method is applied to construct the solutions to the conformable time fractional Regularized Long Wave-Burgers (RLW-Burgers, potential Korteweg-de Vries (KdV) and clannish random walker's parabolic (CRWP) equations. Initially, the predicted solution in the finite series of a rational form of an exponential function is substituted to the ODE generated from the conformable time fractional PDE by using wave transformation. The coefficients used in the finite series are determined by solving the algebraic system derived from the coefficients of the powers of the predicted solution.
Keywords:
modified Kudryashov method
; conformable time fractional RLW-Burgers Equation
; conformable time fractional potential KdV Equation
; conformable time fractional CRWP equation
; conformable derivative
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