Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg–de Vries equations

C Park, RI Nuruddeen, KK Ali, L Muhammad… - Advances in Difference …, 2020 - Springer
This paper aims to investigate the class of fifth-order Korteweg–de Vries equations by
devising suitable novel hyperbolic and exponential ansatze. The class under consideration …

[HTML][HTML] The generalized Kudryashov method for the nonlinear fractional partial differential equations with the beta-derivative

Y Gurefe - Revista mexicana de física, 2020 - scielo.org.mx
In this article, we consider the exact solutions of the Hunter-Saxton and Schrödinger
equations defined by Atangana's conformable derivative using the general Kudryashov …

Exponential rational function method for space–time fractional differential equations

E Aksoy, M Kaplan, A Bekir - Waves in random and complex media, 2016 - Taylor & Francis
In this paper, exponential rational function method is applied to obtain analytical solutions of
the space–time fractional Fokas equation, the space–time fractional Zakharov Kuznetsov …

New exact solutions of some important nonlinear fractional partial differential Equations with beta derivative

EM Ozkan - Fractal and Fractional, 2022 - mdpi.com
In this work, the F-expansion method is used to find exact solutions of the space-time
fractional modified Benjamin Bona Mahony equation and the nonlinear time fractional …

A variety of exact solutions for the time fractional Cahn-Allen equation

O Güner, A Bekir, AC Cevikel - The European Physical Journal Plus, 2015 - Springer
In this paper, the nonlinear time fractional Cahn-Allen equation is studied by three distinct
methods. These methods are also applied to derive a variety of travelling wave solutions …

Exact solutions of nonlinear time fractional partial differential equations by sub‐equation method

A Bekir, E Aksoy, AC Cevikel - Mathematical Methods in the …, 2015 - Wiley Online Library
In this article, the sub‐equation method is presented for finding the exact solutions of a
nonlinear fractional partial differential equations. For this, the fractional complex …

Analytical solutions of (2+ 1)-dimensional time conformable Schrödinger equation using improved sub-equation method

EM Özkan, M Akar - Optik, 2022 - Elsevier
In this work, the improved sub-equation method is used to get exact analytical solutions for
the (2+ 1)-dimensional time conformable Schrödinger equation with beta-derivative. This …

[PDF][PDF] The modified simple equation method for nonlinear fractional differential equations

M Kaplan, A Bekir, A Akbulut, E Aksoy - Rom. J. Phys, 2015 - academia.edu
In this study, the modified simple equation method is used to construct exact solutions of the
space-time fractional modified Korteweg–de Vries equation, the spacetime fractional …

Analytical solutions of nonlinear Beta fractional Schrödinger equation via Sine-Cosine method

V Ala, G Shaikhova - Lobachevskii Journal of Mathematics, 2022 - Springer
In this work, the sine-cosine method is used to construct the analytical solutions of nonlinear
time fractional Schröinger equation described by beta derivative. Applying the proposed …

Exact solutions of nonlinear time fractional schrödinger equation with beta-derivative

V Ala - Fundamentals of Contemporary Mathematical …, 2023 - dergipark.org.tr
This article consists of Improved Bernoulli Sub-Equation Function Method (IBSEFM) to get
the new solutions of nonlinear fractional Schrödinger equation described by beta-derivative …