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Zhizhen Zhang
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All published works
Action
Title
Year
Authors
+
Traffic flow phase transition phenomena based on the kinetic approach
2023
Zhizhen Zhang
Changhong Lu
+
The dynamic energy balance in earthquakes expressed by fault surface morphology
2021
Xin Wang
Juan Liu
Feng Gao
Zhizhen Zhang
+
PDF
Chat
Analytical solutions of biharmonic equation by the Fourier-Yang integral transform
2019
Gao Lin
Zhizhen Zhang
Yan Xing
+
PDF
Chat
Some new applications for heat and fluid flows via fractional derivatives without singular kernel
2016
Xiao‐Jun Yang
Zhizhen Zhang
H. M. Srivastava
+
PDF
Chat
On local fractional operators View of computational complexity: Diffusion and relaxation defined on cantor sets
2016
Xiao‐Jun Yang
Zhizhen Zhang
J. A. Tenreiro Machado
Dumitru Băleanu
Common Coauthors
Coauthor
Papers Together
Xiao‐Jun Yang
2
J. A. Tenreiro Machado
1
H. M. Srivástava
1
Xin Wang
1
Feng Gao
1
Juan Liu
1
Yan Xing
1
Gao Lin
1
Dumitru Băleanu
1
Changhong Lu
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Theory and Applications of Fractional Differential Equations
2006
Anatoly A. Kilbas
H. M. Srivastava
Juan J. Trujillo
2
+
Local Fractional Integral Transforms and their Applications
2016
2
+
Advances in Fractional Calculus
2007
Jocelyn Sabatier
Om P. Agrawal
J. A. Tenreiro Machado
2
+
Advanced Local Fractional Calculus and Its Applications
2012
Xiao‐Jun Yang
2
+
Fractional calculus and stable probability distributions
1998
Rudolf Gorenflo
Francesco Mainardi
1
+
PDF
Chat
A new fractal derivation
2011
Ji‐Huan He
1
+
PDF
Chat
On a connection between a class of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-deformed algebras and the Hausdorff derivative in a medium with fractal metric
2015
José Weberszpil
Matheus J. Lazo
J. A. Helaÿel-Neto
1
+
Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations
2008
E. H. Doha
W. M. Abd‐Elhameed
A. H. Bhrawy
1
+
Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results
2006
Guy Jumarie
1
+
Local fractional similarity solution for the diffusion equation defined on Cantor sets
2015
Xiao‐Jun Yang
Dumitru Băleanu
H. M. Srivastava
1
+
THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
1995
F. B. Tatom
1
+
PDF
Chat
CALCULUS ON FRACTAL SUBSETS OF REAL LINE — I: FORMULATION
2009
Abhay Parvate
A. D. Gangal
1
+
<i>Fractal Concepts in Surface Growth</i>
1995
Albert‐László Barabási
H. Eugene Stanley
Leonard M. Sander
1
+
PDF
Chat
Fractional differentiability of nowhere differentiable functions and dimensions
1996
Kiran M. Kolwankar
Anil D. Gangal
1
+
Anomalous diffusion modeling by fractal and fractional derivatives
2009
Wen Chen
HongGuang Sun
Xiaodi Zhang
Dean Korošak
1
+
Table of some basic fractional calculus formulae derived from a modified Riemann–Liouville derivative for non-differentiable functions
2008
Guy Jumarie
1
+
A disordered microstructure material model based on fractal geometry and fractional calculus
2004
Alberto Carpinteri
B. Chiaia
Pietro Cornetti
1
+
The realization of the generalized transfer equation in a medium with fractal geometry
1986
Raoul R. Nigmatullin
1
+
PDF
Chat
Geometry and field theory in multi-fractional spacetime
2012
Gianluca Calcagni
1
+
Density approach to ballistic anomalous diffusion: An exact analytical treatment
2010
Mauro Bologna
Gianluca Ascolani
Paolo Grigolini
1
+
A note on solutions of wave, Laplace’s and heat equations with convolution terms by using a double Laplace transform
2008
Hassan Eltayeb
Adem Kılıçman
1
+
On the local fractional derivative
2009
Yan Chen
Ying Dong Yan
Kewei Zhang
1
+
Fractional relaxation-oscillation and fractional diffusion-wave phenomena
1996
Francesco Mainardi
1
+
Exact solution for MHD flow of a generalized Oldroyd-B fluid with modified Darcy’s law
2006
Masood Khan
Tasawar Hayat
S. Asghar
1
+
PDF
Chat
On Mittag-Leffler-type functions in fractional evolution processes
2000
Francesco Mainardi
Rudolf Gorenflo
1
+
PDF
Chat
On development of fractional calculus during the last fifty years
2013
J. A. Tenreiro Machado
Alexandra M. Galhano
Juan J. Trujillo
1
+
PDF
Chat
Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow
2015
Xiao‐Jun Yang
J. A. Tenreiro Machado
Jordan Hristov
1
+
About Non-differentiable Functions
2001
Fayçal Ben Adda
Jacky Cresson
1
+
PDF
Chat
Fractal Geometry: Mathematical Foundations and Applications.
1990
K. J. Falconer
1
+
Thermoelasticity that uses fractional heat conduction equation
2009
Yuriy Povstenko
1
+
Anomalous Diffusion and Relaxation Close to Thermal Equilibrium: A Fractional Fokker-Planck Equation Approach
1999
Ralf Metzler
Eli Barkai
J. Klafter
1
+
Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer
2010
Magdy A. Ezzat
1
+
Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
2011
Ji‐Huan He
S.K. Elagan
Z.B. Li
1
+
PDF
Chat
Recent history of fractional calculus
2010
J. A. Tenreiro Machado
Virginia Kiryakova
Francesco Mainardi
1
+
On calculus of local fractional derivatives
2002
Abolfazl Babakhani
Varsha Daftardar‐Gejji
1
+
A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation
2013
Chein‐Shan Liu
1
+
PDF
Chat
Fractional Diffusion Based on Riemann-Liouville Fractional Derivatives
2000
R. Hilfer
1
+
<i>The Fractal Geometry of Nature</i>
1983
Benoît B. Mandelbrot
John Wheeler
1
+
A fractional calculus approach to the description of stress and strain localization in fractal media
2002
Alberto Carpinteri
Pietro Cornetti
1
+
On some properties of solutions of the biharmonic equation
2005
Zayid Abdulhadi
Yusuf Abu Muhanna
Sami Khuri
1
+
PDF
Chat
Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions
2000
Mauro Bologna
Constantino Tsallis
Paolo Grigolini
1
+
PDF
Chat
Local Fractional Fokker-Planck Equation
1998
Kiran M. Kolwankar
Anil D. Gangal
1
+
PDF
Chat
Science metrics on fractional calculus development since 1966
2013
J. A. Tenreiro Machado
Alexandra M. Galhano
Juan J. Trujillo
1
+
Stochastic pathway to anomalous diffusion
1987
J. Klafter
A. Blumen
Michael F. Shlesinger
1
+
Relaxation and retardation functions of the Maxwell model with fractional derivatives
1991
Christin Friedrich
1
+
The random walk's guide to anomalous diffusion: a fractional dynamics approach
2000
Ralf Metzler
J. Klafter
1
+
Diffusion problems in fractal media defined on Cantor sets
2010
Alberto Carpinteri
Alberto Sapora
1
+
PDF
Chat
Vector calculus in non-integer dimensional space and its applications to fractal media
2014
Vasily E. Tarasov
1
+
Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives
2013
Xiao‐Jun Yang
H. M. Srivastava
Ji‐Huan He
Dumitru Băleanu
1
+
PDF
Chat
Geometry of fractional spaces
2012
Gianluca Calcagni
1