Related references
Note: Only part of the references are listed.Three-dimensional lattice models with long-range interactions of Grunwald-Letnikov type for fractional generalization of gradient elasticity
Vasily E. Tarasov
MECCANICA (2016)
Exact discretization by Fourier transforms
Vasily E. Tarasov
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2016)
On chain rule for fractional derivatives
Vasily E. Tarasov
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2016)
UNITED LATTICE FRACTIONAL INTEGRO-DIFFERENTIATION
Vasily E. Tarasov
FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2016)
Leibniz Rule and Fractional Derivatives of Power Functions
Vasily E. Tarasov
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS (2016)
Lattice fractional calculus
Vasily E. Tarasov
APPLIED MATHEMATICS AND COMPUTATION (2015)
Non-standard extensions of gradient elasticity: Fractional non-locality, memory and fractality
Vasily E. Tarasov et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2015)
COMMENTS ON RIEMANN-CHRISTOFFEL TENSOR IN DIFFERENTIAL GEOMETRY OF FRACTIONAL ORDER APPLICATION TO FRACTAL SPACE-TIME, [FRACTALS 21 (2013) 1350004]
Vasily E. Tarasov
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY (2015)
What is a fractional derivative?
Manuel D. Ortigueira et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2015)
Fractional-order difference equations for physical lattices and some applications
Vasily E. Tarasov
JOURNAL OF MATHEMATICAL PHYSICS (2015)
Comments on The Minkowski's space-time is consistent with differential geometry of fractional order [Phys. Lett. A 363 (2007) 5-11]
Vasily E. Tarasov
PHYSICS LETTERS A (2015)
NEW RESULTS FROM OLD INVESTIGATION: A NOTE ON FRACTIONAL m-DIMENSIONAL DIFFERENTIAL OPERATORS. THE FRACTIONAL LAPLACIAN
Humberto Prado et al.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2015)
A variety of (3+1)-dimensional Burgers equations derived by using the Burgers recursion operator
Abdul-Majid Wazwaz
MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2015)
Non-linear fractional field equations: weak non-linearity at power-law non-locality
Vasily E. Tarasov
NONLINEAR DYNAMICS (2015)
Riesz potential versus fractional Laplacian
Manuel D. Ortigueira et al.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2014)
Lattice model of fractional gradient and integral elasticity: Long-range interaction of Grunwald-Letnikov-Riesz type
Vasily E. Tarasov
MECHANICS OF MATERIALS (2014)
On development of fractional calculus during the last fifty years
J. A. Tenreiro Machado et al.
SCIENTOMETRICS (2014)
NUMERICAL METHODS FOR THE FRACTIONAL LAPLACIAN: A FINITE DIFFERENCE-QUADRATURE APPROACH
Yanghong Huang et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2014)
Special solitonic localized structures for the (3+1)-dimensional Burgers equation in water waves
Chao-Qing Dai et al.
WAVE MOTION (2014)
Fractional Quantum Field Theory: From Lattice to Continuum
Vasily E. Tarasov
ADVANCES IN HIGH ENERGY PHYSICS (2014)
Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3+1)-Dimensional Boussinesq Equation
Letlhogonolo Daddy Moleleki et al.
ADVANCES IN MATHEMATICAL PHYSICS (2014)
No violation of the Leibniz rule. No fractional derivative
Vasily E. Tarasov
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2013)
Fractional calculus: A survey of useful formulas
D. Valerio et al.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2013)
REVIEW OF SOME PROMISING FRACTIONAL PHYSICAL MODELS
Vasily E. Tarasov
INTERNATIONAL JOURNAL OF MODERN PHYSICS B (2013)
The Finite Difference Methods for Fractional Ordinary Differential Equations
Changpin Li et al.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION (2013)
Science metrics on fractional calculus development since 1966
J. Tenreiro Machado et al.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2013)
A unified approach to fractional derivatives
Manuel D. Ortigueira et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2012)
FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
Changpin Li et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2012)
Blowup of solutions of the three-dimensional Rosenau-Burgers equation
M. O. Korpusov
THEORETICAL AND MATHEMATICAL PHYSICS (2012)
A real regularised fractional derivative
Manuel D. Ortigueira et al.
SIGNAL IMAGE AND VIDEO PROCESSING (2012)
Recent history of fractional calculus
J. Tenreiro Machado et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2011)
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
Q. Yang et al.
APPLIED MATHEMATICAL MODELLING (2010)
Fractional vector calculus and fractional Maxwell's equations
Vasily E. Tarasov
ANNALS OF PHYSICS (2008)
Periodic Wave Solution to the (3+1)-Dimensional Boussinesq Equation
Wu Yong-Qi
CHINESE PHYSICS LETTERS (2008)
Periodic Wave Solutions for (2+1)-Dimensional Boussinesq Equation and (3+1)-Dimensional Kadomtsev–Petviashvili Equation
Zhang Huan et al.
COMMUNICATIONS IN THEORETICAL PHYSICS (2008)
The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation
S. Shen et al.
IMA JOURNAL OF APPLIED MATHEMATICS (2008)
Dynamics of the chain of forced oscillators with long-range interaction: From synchronization to chaos
G. M. Zaslavsky et al.
CHAOS (2007)
Coupled oscillators with power-law interaction and their fractional dynamics analogues
Nickolay Korabel et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2007)
Transition to chaos in discrete nonlinear Schrodinger equation with long-range interaction
Nickolay Korabel et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2007)
Continuous limit of discrete systems with long-range interaction
Vasily E. Tarasov
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2006)
Map of discrete system into continuous
Vasily E. Tarasov
JOURNAL OF MATHEMATICAL PHYSICS (2006)
Compactlike discrete breathers in systems with nonlinear and nonlocal dispersive terms
AV Gorbach et al.
PHYSICAL REVIEW E (2005)
An explicit and numerical solutions of the fractional KdV equation
S Momani
MATHEMATICS AND COMPUTERS IN SIMULATION (2005)
On a progress in the theory of Lebesgue spaces with variable exponent: maximal and singular operators
S Samko
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS (2005)
Phase diagram in the quantum XY model with long-range interactions
JR de Sousa
EUROPEAN PHYSICAL JOURNAL B (2005)
Some properties of the generalized causal and anticausal Riesz potentials
RA Cerutti et al.
APPLIED MATHEMATICS LETTERS (2000)
Solitons in anharmonic chains with ultra-long-range interatomic interactions
SF Mingaleev et al.
PHYSICAL REVIEW E (2000)
Share Paper
