ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS

Abstract

The exact solutions in the wave form are derived for the timefractional KdV and the time fractional Burgers'equations in conformable frac-tional derivative sense. The fractional variable change using the fundamentalproperties of the conformable derivative reduces both equations to some non-linear ODEs. The predicted solution is assumed to be in a finite series formof a function satisfying a particular first-order ODE whose solution containsan exponential function in the denominator. The solutions are represented inexplicit forms and illustrated by some choices of the parameters for variousfractional orders of the equations. The solutions are illustrated for variousvalues of parameters covering derivative order $$.