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    New Analytical Solutions of Conformable Time Fractional Bad and Good Modified Boussinesq Equations
    (Walter De Gruyter Gmbh, 2020) Durur, Hulya; Tasbozan, Orkun; Kurt, Ali
    The main purpose of this article is to obtain the new solutions of fractional bad and good modified Boussinesq equations with the aid of auxiliary equation method, which can be considered as a model of shallow water waves. By using the conformable wave transform and chain rule, nonlinear fractional partial differential equations are converted into nonlinear ordinary differential equations. This is an important impact because both Caputo definition and Riemann-Liouville definition do not satisfy the chain rule. By using conformable fractional derivatives, reliable solutions can be achieved for conformable fractional partial differential equations.
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    New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method
    (Walter De Gruyter Gmbh, 2020) Durur, Hulya; Kurt, Ali; Tasbozan, Orkun
    This paper proposes obtaining the new wave solutions of time fractional sixth order nonlinear Equation (KdV6) using sub-equation method where the fractional derivatives are considered in conformable sense. Conformable derivative is an understandable and applicable type of fractional derivative that satisfies almost all the basic properties of Newtonian classical derivative such as Leibniz rule, chain rule and etc. Also conformable derivative has some superiority over other popular fractional derivatives such as Caputo and Riemann-Liouville. In this paper all the computations are carried out by computer software called Mathematica.