A New Analysis of Fractional-Order Equal-Width Equations via Novel Techniques

A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method

(2020) Tareq Saeed et al.   Symmetry-Basel

New realization method for calculating convective heat transfer near the hypersonic aircraft surface

(2019) Sergei V. Ryzhkov et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Ternary-fractional differential transform schema: theory and application

(2019) Feras Yousef et al.   Advances in Difference Equations

A new iterative technique for a fractional model of nonlinear Zakharov–Kuznetsov equations via Sumudu transform

(2018) Amit Prakash et al.   APPLIED MATHEMATICS AND COMPUTATION

Shear property, high-temperature rheological performance and low-temperature flexibility of asphalt mastics modified with bio-oil

(2018) Yong Lei et al.   CONSTRUCTION AND BUILDING MATERIALS

A modified numerical scheme and convergence analysis for fractional model of Lienard’s equation

(2018) Devendra Kumar et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Active vibration suppression of a novel airfoil model with fractional order viscoelastic constitutive relationship

(2018) Qi Liu et al.   JOURNAL OF SOUND AND VIBRATION

A new fractional operator of variable order: Application in the description of anomalous diffusion

(2017) Xiao-Jun Yang et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat transfer problems

(2017) Xiao-Jun Yang   Thermal Science

A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow

(2016) Xiao-Jun Yang et al.   Thermal Science

Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular

(2016) Victor Fabian Morales-Delgado et al.   Advances in Difference Equations

A method to stochastic dynamical systems with strong nonlinearity and fractional damping

(2015) Yong Xu et al.   NONLINEAR DYNAMICS

Duplication in a model of rock fracture with fractional derivative without singular kernel

(2015) Emile F. Doungmo Goufo et al.   Open Mathematics

Key words: Nonlinear Differential-Difference Equations; Exp-Function Method; N-Soliton Solutions

(2015) Mehdi Dehghan et al.   ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

An Approximate Analytical Solution of the Fractional Diffusion Equation with Absorbent Term and External Force by Homotopy Perturbation Method

(2015) Subir Das et al.   ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

Homotopy perturbation method for two dimensional time-fractional wave equation

(2014) Xindong Zhang et al.   APPLIED MATHEMATICAL MODELLING

Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method

(2013) Limei Yan   Abstract and Applied Analysis

Responses of Duffing oscillator with fractional damping and random phase

(2013) Yong Xu et al.   NONLINEAR DYNAMICS

On convergence of homotopy analysis method and its application to fractional integro-differential equations

(2013) S. Abbasbandy et al.   Quaestiones Mathematicae

A new approach for solving a system of fractional partial differential equations

(2012) H. Jafari et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Solution of fractional partial differential equations using iterative method

(2012) Chandradeepa Dhaigude et al.   Fractional Calculus and Applied Analysis

Application of the Laplace decomposition method for solving linear and nonlinear fractional diffusion–wave equations

(2011) H. Jafari et al.   APPLIED MATHEMATICS LETTERS

High-order finite element methods for time-fractional partial differential equations

(2011) Yingjun Jiang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Application of He’s variational iteration method and Adomian’s decomposition method to the fractional KdV–Burgers–Kuramoto equation

(2009) M. Safari et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On the global existence of solutions to a class of fractional differential equations

(2009) Dumitru Băleanu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Generalized differential transform method: Application to differential equations of fractional order

(2007) Zaid Odibat et al.   APPLIED MATHEMATICS AND COMPUTATION

Analysis of a time fractional wave-like equation with the homotopy analysis method

(2007) Hang Xu et al.   PHYSICS LETTERS A