An analytical framework of 2D diffusion, wave-like, telegraph, and Burgers’ models with twofold Caputo derivatives ordering

Theory and applications of a more general form for fractional power series expansion

(2018) I. Jaradat et al.   CHAOS SOLITONS & FRACTALS

On some new properties of fractional derivatives with Mittag-Leffler kernel

(2018) Dumitru Baleanu et al.   Communications in Nonlinear Science and Numerical Simulation

Analytical solution of the time-fractional Phi-4 equation by using modified residual power series method

(2017) Marwan Alquran et al.   NONLINEAR DYNAMICS

A novel scheme for solving Caputo time-fractional nonlinear equations: theory and application

(2017) Marwan Alquran et al.   NONLINEAR DYNAMICS

On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations

(2017) Dumitru Baleanu et al.   Boundary Value Problems

Jacobi spectral collocation approximation for multi-dimensional time-fractional Schrödinger equations

(2016) Ali H. Bhrawy et al.   NONLINEAR DYNAMICS

Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves

(2016) Sunil Kumar et al.   NONLINEAR DYNAMICS

Numerical Solution of the Time-Fractional Fokker--Planck Equation with General Forcing

(2016) Kim Ngan Le et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

New exact solutions of Burgers’ type equations with conformable derivative

(2016) Yücel Çenesiz et al.   Waves in Random and Complex Media

A hybrid numerical scheme for the numerical solution of the Burgers’ equation

(2015) Ram Jiwari   COMPUTER PHYSICS COMMUNICATIONS

Approximate analytical solution of the nonlinear fractional KdV–Burgers equation: A new iterative algorithm

(2015) Ahmad El-Ajou et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Revisited Fisher’s equation in a new outlook: A fractional derivative approach

(2015) Marwan Alquran et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Approximate series solution of multi-dimensional, time fractional-order (heat-like) diffusion equations using FRDTM

(2015) B. K. Singh et al.   Royal Society Open Science

A numerical scheme based on differential quadrature method to solve time dependent Burgers' equation

(2014) R.C. Mittal et al.   ENGINEERING COMPUTATIONS

A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers’ equation

(2013) Ram Jiwari et al.   APPLIED MATHEMATICS AND COMPUTATION

A composite numerical scheme for the numerical simulation of coupled Burgers’ equation

(2013) Manoj Kumar et al.   COMPUTER PHYSICS COMMUNICATIONS

New Results on Fractional Power Series: Theories and Applications

(2013) Ahmad El-Ajou et al.   Entropy

Measuring memory with the order of fractional derivative

(2013) Maolin Du et al.   Scientific Reports

A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions

(2012) Ram Jiwari et al.   APPLIED MATHEMATICS AND COMPUTATION

Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method

(2011) Jincun Liu et al.   APPLIED MATHEMATICS AND COMPUTATION

Variational iteration method for fractional heat- and wave-like equations

(2008) Yulita Molliq R et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

He's homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients

(2008) Turgut Öziş et al.   PHYSICS LETTERS A

Beyond Adomian method: The variational iteration method for solving heat-like and wave-like equations with variable coefficients

(2007) Da-Hua Shou et al.   PHYSICS LETTERS A