Preprint Article Version 1 This version not peer reviewed

Explicit Exact Solutions to Some One Dimensional Conformable Time Fractional Equations

Version 1 : Received: 15 December 2016 / Approved: 16 December 2016 / Online: 16 December 2016 (08:01:56 CET)

A peer-reviewed article of this Preprint also exists.

Korkmaz, A. Explicit exact solutions to some one-dimensional conformable time fractional equations. Waves in Random and Complex Media 2017, doi:10.1080/17455030.2017.1416702. Korkmaz, A. Explicit exact solutions to some one-dimensional conformable time fractional equations. Waves in Random and Complex Media 2017, doi:10.1080/17455030.2017.1416702.

Journal reference: Traveling Waves in Random and Complex Media 2018
DOI: https://doi.org/10.1080/17455030.2017.1416702

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.

Subject Areas

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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