A Comparative Study of the Fractional-Order Nonlinear System of Physical Models via Analytical Methods

Analytical investigation of fractional-order Newell-Whitehead-Segel equations via a novel transform

(2022) Mounirah Areshi et al.   AIMS Mathematics

A Comparative Study of Fractional-Order Diffusion Model within Atangana-Baleanu-Caputo Operator

(2022) Mohammad Alshammari et al.   Journal of Function Spaces

A Comparative Analysis of the Fractional-Order Coupled Korteweg–De Vries Equations with the Mittag–Leffler Law

(2022) Noufe H. Aljahdaly et al.   Journal of Mathematics

A Comparative Study of the Fractional Coupled Burgers and Hirota–Satsuma KdV Equations via Analytical Techniques

(2022) Humaira Yasmin et al.   Symmetry-Basel

Analysis of Fractional-Order System of One-Dimensional Keller–Segel Equations: A Modified Analytical Method

(2022) Humaira Yasmin et al.   Symmetry-Basel

A Novel Homotopy Perturbation Method with Applications to Nonlinear Fractional Order KdV and Burger Equation with Exponential-Decay Kernel

(2021) Shabir Ahmad et al.   Journal of Function Spaces

Numerical computations and theoretical investigations of a dynamical system with fractional order derivative

(2021) Muhammad Arfan et al.   Alexandria Engineering Journal

Numerical Analysis of the Fractional-Order Nonlinear System of Volterra Integro-Differential Equations

(2021) Pongsakorn Sunthrayuth et al.   Journal of Function Spaces

Modified Modelling for Heat Like Equations within Caputo Operator

(2020) Hassan Khan et al.   Energies

An Efficient Analytical Approach for the Solution of Certain Fractional-Order Dynamical Systems

(2020) Ya Qin et al.   Energies

Residual Power Series Method for Fractional Diffusion Equations

(2017) Amit Kumar et al.   FUNDAMENTA INFORMATICAE

Hybridization of homotopy perturbation method and Laplace transformation for the partial differential equations

(2017) Zhen-Jiang Liu et al.   Thermal Science

A new integral transform method for solving steady heat-transfer problem

(2016) Xiao-Jun Yang   Thermal Science

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

(2016) Abdon Atangana et al.   Thermal Science

Reconstructive schemes for variational iteration method within Yang-Laplace transform with application to fractal heat conduction problem

(2013) Chun-Feng Liu et al.   Thermal Science

Fractal heat conduction problem solved by local fractional variation iteration method

(2012) Xiao-Jun Yang et al.   Thermal Science

Reduced Differential Transform Method for Partial Differential Equations

(2011) Yildiray Keskin et al.   INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation

(2011) Chang-Ming Chen et al.   MATHEMATICS OF COMPUTATION

Fractional Optimal Control Problems with Several State and Control Variables

(2010) Om P. Agrawal et al.   JOURNAL OF VIBRATION AND CONTROL

New analytical method for solving Burgers' and nonlinear heat transfer equations and comparison with HAM

(2009) M.M. Rashidi et al.   COMPUTER PHYSICS COMMUNICATIONS

The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method

(2008) Mustafa Inc   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Zakharov–Kuznetsov–Burgers equation for dust ion acoustic waves

(2006) Waleed M. Moslem et al.   CHAOS SOLITONS & FRACTALS