Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method

Numerical solutions of coupled nonlinear fractional KdV equations using He’s fractional calculus

(2020) Dianchen Lu et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS B

A comparative study and analysis of natural convection flow of MHD non-Newtonian fluid in the presence of heat source and first-order chemical reaction

(2019) M. Ahmad et al.   JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY

He-Elzaki Method for Spatial Diffusion of Biological Population

(2019) Jamshaid ul Rahman et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Numerical Simulation of Darcy–Forchheimer 3D Unsteady Nanofluid Flow Comprising Carbon Nanotubes with Cattaneo–Christov Heat Flux and Velocity and Thermal Slip Conditions

(2019) Jamshaid Rahman et al.   Processes

Approximate solution of fractional vibration equation using Jacobi polynomials

(2018) Harendra Singh   APPLIED MATHEMATICS AND COMPUTATION

The new exact solitary and multi-soliton solutions for the (2+1)-dimensional Zakharov–Kuznetsov equation

(2018) Chun-Ku Kuo   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Dynamical survey of the dual power Zakharov–Kuznetsov–Burgers equation with external periodic perturbation

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

ELZAKI PROJECTED DIFFERENTIAL TRANSFORM METHOD FOR FRACTIONAL ORDER SYSTEM OF LINEAR AND NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATION

(2018) DIANCHEN LU et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Numerical Investigation of Fractional HIV model using Elzaki Projected Differential Transform Method

(2018) Muhammad Suleman et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Homotopy perturbation method for nonlinear oscillators with coordinate-dependent mass

(2018) Yue Wu et al.   Results in Physics

Fractal calculus and its geometrical explanation

(2018) Ji-Huan He   Results in Physics

On the comparison of perturbation-iteration algorithm and residual power series method to solve fractional Zakharov-Kuznetsov equation

(2018) Mehmet Şenol et al.   Results in Physics

FRACTAL ANALYSIS OF FLOW RESISTANCE IN TREE-LIKE BRANCHING NETWORKS WITH ROUGHENED MICROCHANNELS

(2017) SHANSHAN YANG et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Heat and mass transport of differential type fluid with non-integer order time-fractional Caputo derivatives

(2017) M.A. Imran et al.   JOURNAL OF MOLECULAR LIQUIDS

Numerical simulation for solution of space–time fractional telegraphs equations with local fractional derivatives via HAFSTM

(2017) Rishi Kumar Pandey et al.   NEW ASTRONOMY

Shallow water waves in porous medium for coast protection

(2017) Yan Wang et al.   Thermal Science

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

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

A fractional model for heat transfer in Mongolian yurt

(2017) Hong-Yan Liu et al.   Thermal Science

He’s fractional derivative and its application for fractional Fornberg-Whitham equation

(2017) Kang-Le Wang et al.   Thermal Science

Fractal analysis for heat extraction in geothermal system

(2017) Xiaoji Shang et al.   Thermal Science

A hybrid computational approach for Klein–Gordon equations on Cantor sets

(2016) Devendra Kumar et al.   NONLINEAR DYNAMICS

On fractal space-time and fractional calculus

(2016) Yue Hu et al.   Thermal Science

Improved fractional sub-equation method for (3+1) -dimensional generalized fractional KdV–Zakharov–Kuznetsov equations

(2015) S. Sahoo et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A Tutorial Review on Fractal Spacetime and Fractional Calculus

(2014) Ji-Huan He   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Approximate Solutions of Non-linear Fractional Schrodinger Equation Via Differential Transform Method and Modified Differential Transform Method

(2013) K. Aruna et al.   NATIONAL ACADEMY SCIENCE LETTERS-INDIA

Homotopy Perturbation Method with an Auxiliary Term

(2012) Ji-Huan He   Abstract and Applied Analysis

A fractional model of the diffusion equation and its analytical solution using Laplace transform

(2012) S. Kumar et al.   Scientia Iranica

A Fractional Model of Gas Dynamics Equations and its Analytical Approximate Solution Using Laplace Transform

(2012) Sunil Kumar et al.   ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

An Algorithm for Solving the Fractional Nonlinear Schrödinger Equation by Means of the Homotopy Perturbation Method

(2011) A. Yildirim   INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus

(2011) Ji-Huan He et al.   PHYSICS LETTERS A

A new fractal derivation

(2011) He Ji-Huan   Thermal Science

Converting fractional differential equations into partial differential equations

(2011) Ji-Huan He et al.   Thermal Science

Analytical Approach to Fractional Zakharov–Kuznetsov Equations by He's Homotopy Perturbation Method

(2010) Ahmet Yıldırım et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Solving fractional boundary value problems with Dirichlet boundary conditions using a new iterative method

(2009) Varsha Daftardar-Gejji et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Approximate solutions of fractional Zakharov–Kuznetsov equations by VIM

(2009) R. Yulita Molliq et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Solving evolution equations using a new iterative method

(2009) Sachin Bhalekar et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

New iterative method: Application to partial differential equations

(2008) Sachin Bhalekar et al.   APPLIED MATHEMATICS AND COMPUTATION