Bifurcations and Exact Solutions for a Class of MKdV Equations with the Conformable Fractional Derivative via Dynamical System Method

Exact Traveling Wave Solutions and Bifurcations of the Time-Fractional Differential Equations with Applications

(2019) Wenjing Zhu et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Analytical solutions of the (2+1)-dimensional space–time fractional Bogoyavlenskii’s breaking soliton equation

(2018) Chao Li et al.   APPLIED MATHEMATICS LETTERS

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

(2018) Shuai Yang et al.   APPLIED MATHEMATICS LETTERS

Simplest equation method for some time-fractional partial differential equations with conformable derivative

(2018) Cheng Chen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Bifurcation and exact traveling wave solutions for dual power Zakharov–Kuznetsov–Burgers equation with fractional temporal evolution

(2018) Amiya Das et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Analytical approach for space–time fractional Klein–Gordon equation

(2017) Omer Unsal et al.   OPTIK

New analytic solutions of the space–time fractional Cahn–Hilliard equations

(2017) H. Çerdik Yaslan   OPTIK

Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques (G′/G)-expansion method and improved (G′/G)-expansion method

(2016) S. Sahoo et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Counterexamples on Jumarie’s two basic fractional calculus formulae

(2015) Cheng-shi Liu   Communications in Nonlinear Science and Numerical Simulation

On the nonexistence of non-constant exact periodic solutions in a class of the Caputo fractional-order dynamical systems

(2015) Yan-Mei Kang et al.   NONLINEAR DYNAMICS

New approach to find exact solutions of time-fractional Kuramoto–Sivashinsky equation

(2015) S. Sahoo et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

A Novel Analytical Method with Fractional Complex Transform for New Exact Solutions of Time-Fractional Fifth-Order Sawada-Kotera Equation

(2015) S. Saha Ray et al.   REPORTS ON MATHEMATICAL PHYSICS

A new definition of fractional derivative

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

Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations

(2013) Jibin Li et al.   JOURNAL OF MATHEMATICAL PHYSICS

The first integral method for some time fractional differential equations

(2012) Bin Lu   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

On the existence of periodic solutions in time-invariant fractional order systems

(2011) M. Yazdani et al.   AUTOMATICA

Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions

(2011) Eva Kaslik et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

A note on fractional-order derivatives of periodic functions

(2010) Mohammad Saleh Tavazoei   AUTOMATICA

ON NONLINEAR WAVE EQUATIONS WITH BREAKING LOOP-SOLUTIONS

(2010) JIBIN LI et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Bifurcations of traveling wave solutions for an integrable equation

(2010) Jibin Li et al.   JOURNAL OF MATHEMATICAL PHYSICS

A proof for non existence of periodic solutions in time invariant fractional order systems

(2009) Mohammad Saleh Tavazoei et al.   AUTOMATICA

Family of nonlinear wave equations which yield loop solutions and solitary wave solutions

(2009) Jibin Li   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS