Modified Kudryashov method and its application to the fractional version of the variety of Boussinesq-like equations in shallow water

Conformable derivative: Application to non-Darcian flow in low-permeability porous media

(2018) Shuai Yang et al.   APPLIED MATHEMATICS LETTERS

Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology

(2018) Dipankar Kumar et al.   CHINESE JOURNAL OF PHYSICS

Conformable derivative approach to anomalous diffusion

(2018) H.W. Zhou et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Soliton solutions for Boussinesq-like equations with spatio-temporal dispersion

(2017) M.T. Darvishi et al.   OCEAN ENGINEERING

Optical solitons for a family of nonlinear ( $$1+1$$ 1 + 1 )-dimensional time-space fractional Schrödinger models

(2017) M. T. Darvishi et al.   OPTICAL AND QUANTUM ELECTRONICS

Application of the ITEM for the modified dispersive water-wave system

(2017) Mehrdad Lakestani et al.   OPTICAL AND QUANTUM ELECTRONICS

New solutions for conformable fractional Nizhnik–Novikov–Veselov system via $$G'/G$$ G ′ / G expansion method and homotopy analysis methods

(2017) A. Kurt et al.   OPTICAL AND QUANTUM ELECTRONICS

Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the $$\exp \left( { - \phi \left( \varepsilon \right)} \right)$$ exp - ϕ ε -expansion method

(2017) K. Hosseini et al.   OPTICAL AND QUANTUM ELECTRONICS

Applications of two reliable methods for solving a nonlinear conformable time-fractional equation

(2017) Melike Kaplan   OPTICAL AND QUANTUM ELECTRONICS

The first integral method applied to the Bogoyavlenskii equations by means of conformable fractional derivative

(2017) Mostafa Eslami et al.   OPTICAL AND QUANTUM ELECTRONICS

Exact solutions to the space–time fractional Schrödinger–Hirota equation and the space–time modified KDV–Zakharov–Kuznetsov equation

(2017) Mostafa Eslami et al.   OPTICAL AND QUANTUM ELECTRONICS

The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzéica type equations in nonlinear optics

(2017) D. Kumar et al.   OPTIK

Modified Kudryashov method for solving the conformable time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities

(2017) K. Hosseini et al.   OPTIK

Applications of extended simple equation method on unstable nonlinear Schrödinger equations

(2017) Dianchen Lu et al.   OPTIK

Tanh-type and sech-type solitons for some space-time fractional PDE models

(2017) Ozkan Guner et al.   European Physical Journal Plus

New analytical solutions for conformable fractional PDEs arising in mathematical physics by exp-function method

(2017) Orkun Tasbozan et al.   Open Physics

Exponential rational function method for solving nonlinear equations arising in various physical models

(2016) Ahmet Bekir et al.   CHINESE JOURNAL OF PHYSICS

New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion method

(2016) Orkun Tasbozan et al.   European Physical Journal Plus

The first integral method for Wu–Zhang system with conformable time-fractional derivative

(2015) Mostafa Eslami et al.   CALCOLO

On conformable fractional calculus

(2015) Thabet Abdeljawad   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On the Solution of Burgers’ Equation with the New Fractional Derivative

(2015) Ali Kurt et al.   Open Physics

A new definition of fractional derivative

(2014) R. Khalil et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

First integral method to look for exact solutions of a variety of Boussinesq-like equations

(2014) M. Eslami et al.   OCEAN ENGINEERING

Solitons and singular solitons for a variety of Boussinesq-like equations

(2012) Abdul-Majid Wazwaz   OCEAN ENGINEERING

A multiple exp-function method for nonlinear differential equations and its application

(2010) Wen-Xiu Ma et al.   PHYSICA SCRIPTA

Some new solitary and travelling wave solutions of certain nonlinear diffusion–reaction equations using auxiliary equation method

(2008) Ranjit Kumar et al.   PHYSICS LETTERS A

The ()-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

(2007) Mingliang Wang et al.   PHYSICS LETTERS A