A Tutorial Review on Fractal Spacetime and Fractional Calculus
暂无分享,去创建一个
[1] Stuart Macdonald,et al. Emperor’s New Clothes , 2015 .
[2] M. Matinfar,et al. Application of variational iteration method to nonlinear heat transfer equations using He's polynomials , 2013 .
[3] M. E. Naschie,et al. The quantum gravity Immirzi parameter—A general physical and topological interpretation , 2013 .
[4] Fujuan Liu,et al. Silk Cocoon: "Emperor's New Clothes" for Pupa: Fractal Nano-Hydrodynamical Approach , 2013 .
[5] Ji-Huan He,et al. Chaotic Fractals at the Root of Relativistic Quantum Physics and Cosmology , 2013 .
[6] M. Naschie. A Resolution of Cosmic Dark Energy via a Quantum Entanglement Relativity Theory , 2013 .
[7] M. Naschie. A Unified Newtonian-Relativistic Quantum Resolution of the Supposedly Missing Dark Energy of the Cosmos and the Constancy of the Speed of Light , 2013 .
[8] Ji-Huan He,et al. Exp-function Method for Fractional Differential Equations , 2013, International Journal of Nonlinear Sciences and Numerical Simulation.
[9] Ai-Min Yang,et al. THE YANG-FOURIER TRANSFORMS TO HEAT-CONDUCTION IN A SEMI-INFINITE FRACTAL BAR , 2013 .
[10] Li-Mei Yan. MODIFIED HOMOTOPY PERTURBATION METHOD COUPLED WITH LAPLACE TRANSFORM FOR FRACTIONAL HEAT TRANSFER AND POROUS MEDIA EQUATIONS , 2013 .
[11] Jie Fan,et al. FRACTAL HEAT TRANSFER IN WOOL FIBER HIERARCHY , 2013 .
[12] G. Wu,et al. VARIATIONAL ITERATION METHOD FOR THE q -DIFFUSION EQUATIONS ON TIME SCALES , 2013 .
[13] Jie Fan,et al. WATER PERMEATION IN THE BRANCHING CHANNEL NET OF WOOL FIBER , 2013 .
[14] Ji-Huan He,et al. Local Fractional Variational Iteration Method for Fractal Heat transfer in Silk Cocoon hierarchy , 2013 .
[15] Xiao‐Jun Yang,et al. Fractal heat conduction problem solved by local fractional variation iteration method , 2013 .
[16] Chun-Feng Liu,et al. Reconstructive schemes for variational iteration method within Yang-Laplace transform with application to fractal heat conduction problem , 2013 .
[17] Ji-Huan He. Comment on “Variational Iteration Method for Fractional Calculus Using He’s Polynomials” , 2012 .
[18] Ji-Huan He,et al. Asymptotic Methods for Solitary Solutions and Compactons , 2012 .
[19] Jihuan He,et al. Fractal Derivative Model for Air Permeability in Hierarchic Porous Media , 2012 .
[20] S. Mohyud-Din,et al. Modified variational iteration method for solving a neutral functional‐differential equation with proportional delays , 2012 .
[21] Atulya K. Nagar,et al. He-Laplace Method for Linear and Nonlinear Partial Differential Equations , 2012, J. Appl. Math..
[22] K. N. Rai,et al. Application of He's homotopy perturbation method for multi‐dimensional fractional Helmholtz equation , 2012 .
[23] S. M. Hosseini,et al. Variational iteration method for Hirota‐Satsuma coupled KdV equation using auxiliary parameter , 2012 .
[24] Yanqin Liu. Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method , 2012 .
[25] Najeeb Alam Khan,et al. Numerical solutions of time‐fractional Burgers equations: A comparison between generalized differential transformation technique and homotopy perturbation method , 2012 .
[26] Hsuan-Ku Liu,et al. Application of the Variational Iteration Method to Strongly Nonlinear q-Difference Equations , 2012, J. Appl. Math..
[27] Ji-Huan He,et al. Homotopy Perturbation Method with an Auxiliary Term , 2012 .
[28] Ji-Huan He,et al. Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus , 2012 .
[29] Ji-Huan He,et al. Exact solutions of time-fractional heat conduction equation by the fractional complex transform , 2012 .
[30] Ji-Huan He,et al. Fractional model for heat conduction in polar bear hairs , 2012 .
[31] Habibolla Latifizadeh. Application of Homotopy Perturbation and Numerical Methods to the Circular Porous Slider , 2012 .
[32] Ji-Huan He,et al. BIOMIMIC DESIGN OF MULTI-SCALE FABRIC WITH EFFICIENT HEAT TRANSFER PROPERTY , 2012 .
[33] Ji-Huan He,et al. THE FRACTAL HARMONIC LAW AND ITS APPLICATION TO SWIMMING SUIT , 2012 .
[34] Hai-Yan Kong,et al. A novel friction law , 2012 .
[35] Ji-Huan He,et al. Review on fiber morphology obtained by bubble electrospinning and blown bubble spinning , 2012 .
[36] J. He. The Smaller, the Better: From the Spider-Spinning to Bubble-Electrospinning , 2012 .
[37] Wu Guo-Cheng,et al. Variational Iteration Method for q-Difference Equations of Second Order , 2012, J. Appl. Math..
[38] G. Wu,et al. LAPLACE TRANSFORM OVERCOMING PRINCIPLE DRAWBACKS IN APPLICATION OF THE VARIATIONAL ITERATION METHOD TO FRACTIONAL HEAT EQUATIONS , 2012 .
[39] Ji-Huan He,et al. A SHORT REMARK ON FRACTIONAL VARIATIONAL ITERATION METHOD , 2011 .
[40] Yasir Khan,et al. On the coupling of the homotopy perturbation method and Laplace transformation , 2011, Math. Comput. Model..
[41] Hongqing Zhang,et al. An Exp-function method for new N-soliton solutions with arbitrary functions of a (2+1)-dimensional vcBK system , 2011, Comput. Math. Appl..
[42] Yasir Khan,et al. Homotopy perturbation transform method for nonlinear equations using He's polynomials , 2011, Comput. Math. Appl..
[43] E. Haven. Itô’s Lemma with Quantum Calculus (q-Calculus): Some Implications , 2011 .
[44] N. Samec,et al. Numerical optimization of a waste-to-energy plant's operating parameters using CFD , 2011 .
[45] Ji-Huan He. A NEW FRACTAL DERIVATION , 2011 .
[46] Ji-Huan He,et al. Fractional Complex Transform for Fractional Differential Equations , 2010 .
[47] Xumei Chen,et al. The variational iteration method for solving a neutral functional-differential equation with proportional delays , 2010, Comput. Math. Appl..
[48] Ji-Huan He,et al. A NOTE ON THE HOMOTOPY PERTURBATION METHOD , 2010 .
[49] Wen Chen,et al. Investigation on Fractional and Fractal Derivative Relaxation- Oscillation Models , 2010 .
[50] Majid Khan,et al. Homotopy Perturbation Method for Nonlinear Exponential Boundary Layer Equation using Laplace Transformation, He's Polynomials and Pade Technology He's Polynomials and Pade Technology , 2010 .
[51] S. Zhang,et al. A GENERALIZED EXP-FUNCTION METHOD FOR FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS , 2010 .
[52] Ji-Huan He. Frontier of Modern Textile Engineering and Short Remarks on Some Topics in Physics , 2010 .
[53] K. Noor,et al. On the Coupling of He's Polynomials and Laplace Transformation , 2010 .
[54] Habibolla Latifizadeh. Coupling of He's polynomials and Laplace transformation for MHD viscous flow over a stretching sheet , 2010 .
[55] F. Austin,et al. THE VARIATIONAL ITERATION METHOD WHICH SHOULD BE FOLLOWED , 2010 .
[56] Ji-Huan He. Hilbert cube model for fractal spacetime , 2009 .
[57] M. E. Naschie. Deriving the curvature of fractal-Cantorian spacetime from first principles , 2009 .
[58] Guy Jumarie,et al. From Lagrangian mechanics fractal in space to space fractal Schrödinger’s equation via fractional Taylor’s series , 2009 .
[59] Arash Gholami Davoodi,et al. Solutions for the double Sine‐Gordon equation by Exp‐function, Tanh, and extended Tanh methods , 2009 .
[60] Ji-Huan He. A generalized poincaré-invariant action with possible application in strings and E-infinity theory , 2009 .
[61] Asghar Ghorbani,et al. Beyond Adomian polynomials: He polynomials , 2009 .
[62] Ahmet Yildirim,et al. An Algorithm for Solving the Fractional Nonlinear Schrödinger Equation by Means of the Homotopy Perturbation Method , 2009 .
[63] Z. Dai,et al. Double Exp-function Method and Application , 2009 .
[64] G. Wu,et al. Fractal Approach to Flow through Porous Material , 2009 .
[65] Ji-Huan He. AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING , 2008 .
[66] M. E. Naschie. Kaluza-Klein unification - Some possible extensions , 2008 .
[67] Hossein Jafari,et al. Application of the homotopy perturbation method to coupled system of partial differential equations with time fractional derivatives , 2008 .
[68] Shaher Momani,et al. Applications of variational iteration and homotopy perturbation methods to fractional evolution equations , 2008 .
[69] Qi Wang. Homotopy perturbation method for fractional KdV-Burgers equation , 2008 .
[70] Y. Liu,et al. A HIERARCHY OF MOTION IN ELECTROSPINNING PROCESS AND Ε-INFINITY NANOTECHNOLOGY , 2008 .
[71] M. Noor,et al. Variational Iteration Method for Solving Higher-order Nonlinear Boundary Value Problems Using He's Polynomials , 2008 .
[72] Subir Das,et al. Solution of Fractional Vibration Equation by the Variational Iteration Method and Modified Decomposition Method , 2008 .
[73] Ji-Huan He. A New Resistance Formulation for Carbon Nanotubes , 2008 .
[74] Hossein Jafari,et al. SOLVING FRACTIONAL DIFFUSION AND WAVE EQUATIONS BY MODIFIED HOMOTOPY PERTURBATION METHOD , 2007 .
[75] Ji-Huan He. Variational iteration method—Some recent results and new interpretations , 2007 .
[76] Ji-Huan He,et al. Variational iteration method: New development and applications , 2007, Comput. Math. Appl..
[77] Shaher Momani,et al. Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations , 2007, Comput. Math. Appl..
[78] Ji-Huan He,et al. Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method , 2007, Comput. Math. Appl..
[79] Shaher Momani,et al. Homotopy perturbation method for nonlinear partial differential equations of fractional order , 2007 .
[80] Guy Jumarie,et al. Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solution , 2007 .
[81] Asghar Ghorbani,et al. He's Homotopy Perturbation Method for Calculating Adomian Polynomials , 2007 .
[82] Guy Jumarie,et al. The Minkowski's space-time is consistent with differential geometry of fractional order , 2007 .
[83] N. Quirke,et al. Fluid flow in carbon nanotubes and nanopipes. , 2007, Nature nanotechnology.
[84] G. Hummer. Water, proton, and ion transport: from nanotubes to proteins , 2007 .
[85] Ahmet Boz,et al. Exact Solutions for a Class of Nonlinear Partial Differential Equations using Exp-Function Method , 2007 .
[86] Prince Abdullah bin Ghazi,et al. Modified homotopy perturbation method : Application to quadratic Riccati differential equation of fractional order , 2007 .
[87] M. E. Naschie,et al. Elementary prerequisites for E-infinity . (Recommended background readings in nonlinear dynamics, geometry and topology) , 2006 .
[88] M. E. Naschie,et al. Nanotechnology for the developing world , 2006 .
[89] Ji-Huan He,et al. Exp-function method for nonlinear wave equations , 2006 .
[90] G. Drăgănescu,et al. Application of a variational iteration method to linear and nonlinear viscoelastic models with fractional derivatives , 2006 .
[91] G. Jumarie,et al. Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results , 2006, Comput. Math. Appl..
[92] Ji-Huan He. SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .
[93] W. Chen. Time-space fabric underlying anomalous diffusion , 2005, math-ph/0505023.
[94] S. Momani,et al. Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order , 2006 .
[95] Necdet Bildik,et al. The Use of Variational Iteration Method, Differential Transform Method and Adomian Decomposition Method for Solving Different Types of Nonlinear Partial Differential Equations , 2006 .
[96] Mainak Majumder,et al. Nanoscale hydrodynamics: Enhanced flow in carbon nanotubes , 2005, Nature.
[97] M. E. Naschie,et al. A review of E infinity theory and the mass spectrum of high energy particle physics , 2004 .
[98] M. E. Naschie,et al. The VAK of vacuum fluctuation,: Spontaneous self-organization and complexity theory interpretation of high energy particle physics and the mass spectrum , 2003 .
[99] Nabil T. Shawagfeh,et al. Analytical approximate solutions for nonlinear fractional differential equations , 2002, Appl. Math. Comput..
[100] M. E. Naschie,et al. Quantum loops, wild topology and fat Cantor sets in transfinite high-energy physics , 2002 .
[101] Ji-Huan He. A coupling method of a homotopy technique and a perturbation technique for non-linear problems , 2000 .
[102] Ji-Huan He. Homotopy perturbation technique , 1999 .
[103] G. Ord. Fractals and the Quantum Classical Boundary , 1999 .
[104] Ji-Huan He. Variational iteration method – a kind of non-linear analytical technique: some examples , 1999 .
[105] Ji-Huan He. Approximate analytical solution for seepage flow with fractional derivatives in porous media , 1998 .
[106] G. Ord. Fractal space-time and the statistical mechanics of random walks , 1996 .
[107] D. Finkelstein. Quantum sets and clifford algebras , 1982 .