Recent history of fractional calculus
Data up to Jan 2025
Total Citations Per Year
Abstract
References (51)
Theory and Applications of Fractional Differential Equations
2006 • 13,221 citations
An Introduction to the Fractional Calculus and Fractional Differential Equations
1993 • 8,114 citations
Applications of Fractional Calculus in Physics
2000 • 4,148 citations
Fractional Calculus in Bioengineering
2007 • 1,967 citations
Fractals and Fractional Calculus in Continuum Mechanics
1997 • 1,748 citations
The Fractional Fourier Transform: with Applications in Optics and Signal Processing
2001 • 1,401 citations
Theory of Fractional Dynamic Systems
2009 • 1,201 citations
Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models
2010 • 1,188 citations
Advances in fractional calculus: theoretical developments and applications in physics and Engineering
2007 • 1,089 citations
Generalized fractional calculus and applications
1994 • 975 citations
The H-Function : Theory and Applications
2010 • 886 citations
Physics of Fractal Operators
2003 • 805 citations
Hamiltonian Chaos and Fractional Dynamics
2004 • 722 citations
New Trends in Nanotechnology and Fractional Calculus Applications
2009 • 719 citations
Anomalous transport : foundations and applications
2008 • 584 citations
Fractional Order Systems: Modeling and Control Applications
2010 • 582 citations
Fractional Calculus: Models and Numerical Methods
2012 • 468 citations
Fractional Integrals and Derivatives, Theory and Applications
1987 • 451 citations
Special Functions for Applied Scientists
2008 • 336 citations
Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences
1973 • 324 citations
H-Transforms: Theory and Applications
2004 • 304 citations
Univalent Functions, Fractional Calculus, and Their Applications
1990 • 302 citations
Linear feedback control : analysis and design with MATLAB
2008 • 296 citations
Fractional Differentiation Inequalities
2009 • 276 citations
More Special Functions
2012 • 266 citations
Abel Integral Equations: Analysis and Applications
1991 • 258 citations
The Hypergeometric Approach to Integral Transforms and Convolutions
1994 • 246 citations
The H-Function with Applications in Statistics and Other Disciplines
1979 • 233 citations
Handbook of Special Functions: Derivatives, Integrals, Series and Other Formulas
2008 • 223 citations
Fractional Integrals and Potentials
1996 • 211 citations
Computers and Mathematics with Applications
1976 • 202 citations
Monte Carlo simulation of uncoupled continuous-time random walks yielding a stochastic solution of the space-time fractional diffusion equation
2008 • 172 citations
Fractional calculus and integral transforms of generalized functions
1979 • 150 citations
La commande crone : du scalaire au multivariable
1999 • 146 citations
Computation of the generalized Mittag-Leffler function and its inverse in the complex plane
2006 • 141 citations
Special Functions in Queuing Theory and Related Stochastic Processes
1982 • 112 citations
Fractional differentiation and its applications
2005 • 95 citations
Solving Applied Mathematical Problems with MATLAB
2008 • 88 citations
Mathematical Methods in Engineering
2007 • 67 citations
The Mittag-Leffler function
2020 • 61 citations
Algorithms for Evaluation of the Wright Function for the Real Arguments’ Values
2008 • 55 citations
Physiology, Promiscuity, and Prophecy at the Millennium: A Tale of Tails
1999 • 53 citations
Fractional Calculus and Its Applications
2014 • 46 citations
Theory and applications of convolution integral equations
1993 • 41 citations
Stability of Fractional-Order Systems
2011 • 27 citations
Recent Advances in Fractional Calculus
2024 • 24 citations
Abel integral equations with special emphasis on applications
1996 • 24 citations
Method for operating an internal combustion engine
2008 • 2 citations
Fractional variational principles and their applications
2007 • 2 citations
Method for regulating an actual value of a variable which characterizes a position of an actuator, computer program product, computer program and recording medium
2007 • 2 citations
System for determining the state of charge of electricity storage units of vehicles
2006 • 1 citations