- Home
- Publications
- Publication Search
- Publication Details
Title
Variable-order fractional calculus: A change of perspective
Authors
Keywords
Fractional derivatives, Fractional integrals, Variable order, Scarpi derivative, Laplace transform, General fractional calculus, Sonine condition
Journal
Communications in Nonlinear Science and Numerical Simulation
Volume 102, Issue -, Pages 105904
Publisher
Elsevier BV
Online
2021-06-03
DOI
10.1016/j.cnsns.2021.105904
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- General Fractional Integrals and Derivatives with the Sonine Kernels
- (2021) Yuri Luchko Mathematics
- Operational calculus for the general fractional derivative and its applications
- (2021) Yuri Luchko Fractional Calculus and Applied Analysis
- General Fractional Integrals and Derivatives of Arbitrary Order
- (2021) Yuri Luchko Symmetry-Basel
- A comment on a controversial issue: A generalized fractional derivative cannot have a regular kernel
- (2020) Andrzej Hanyga Fractional Calculus and Applied Analysis
- A practical guide to Prabhakar fractional calculus
- (2020) Andrea Giusti et al. Fractional Calculus and Applied Analysis
- Why fractional derivatives with nonsingular kernels should not be used
- (2020) Kai Diethelm et al. Fractional Calculus and Applied Analysis
- Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative
- (2020) Xiangcheng Zheng et al. CHAOS SOLITONS & FRACTALS
- Fractional derivatives and the fundamental theorem of fractional calculus
- (2020) Yuri Luchko Fractional Calculus and Applied Analysis
- The General Fractional Derivative and Related Fractional Differential Equations
- (2020) Yuri Luchko et al. Mathematics
- Non-Linear Macroeconomic Models of Growth with Memory
- (2020) Vasily E. Tarasov Mathematics
- Analysis of a physically-relevant variable-order time-fractional reaction–diffusion model with Mittag-Leffler kernel
- (2020) Xiangcheng Zheng et al. APPLIED MATHEMATICS LETTERS
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- (2019) HongGuang Sun et al. Fractional Calculus and Applied Analysis
- Asymptotic Behavior of the Solution of the Space Dependent Variable Order Fractional Diffusion Equation: Ultraslow Anomalous Aggregation
- (2019) Sergei Fedotov et al. PHYSICAL REVIEW LETTERS
- Growth Equation of the General Fractional Calculus
- (2019) Anatoly N. Kochubei et al. Mathematics
- Fractional-order derivatives defined by continuous kernels are too restrictive
- (2018) Martin Stynes APPLIED MATHEMATICS LETTERS
- The Prabhakar or three parameter Mittag–Leffler function: Theory and application
- (2018) Roberto Garra et al. Communications in Nonlinear Science and Numerical Simulation
- Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus
- (2018) Roberto Garrappa et al. JOURNAL OF SCIENTIFIC COMPUTING
- Variable order fractional systems
- (2018) Manuel D. Ortigueira et al. Communications in Nonlinear Science and Numerical Simulation
- Comments on time-varying fractional order
- (2017) Gary W. Bohannan NONLINEAR DYNAMICS
- Caputo derivatives of fractional variable order: Numerical approximations
- (2016) Dina Tavares et al. Communications in Nonlinear Science and Numerical Simulation
- A dynamic viscoelastic analogy for fluid-filled elastic tubes
- (2016) Andrea Giusti et al. MECCANICA
- A class of linear viscoelastic models based on Bessel functions
- (2016) Ivano Colombaro et al. MECCANICA
- Derivation, interpretation, and analog modelling of fractional variable order derivative definition
- (2015) Dominik Sierociuk et al. APPLIED MATHEMATICAL MODELLING
- Fractional spectral collocation methods for linear and nonlinear variable order FPDEs
- (2015) Mohsen Zayernouri et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Second-order approximations for variable order fractional derivatives: Algorithms and applications
- (2015) Xuan Zhao et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- (2015) Roberto Garrappa SIAM JOURNAL ON NUMERICAL ANALYSIS
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- (2015) Fanhai Zeng et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media
- (2013) S. Chen et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Evaluation of generalized Mittag–Leffler functions on the real line
- (2012) Roberto Garrappa et al. ADVANCES IN COMPUTATIONAL MATHEMATICS
- Fractional integration and differentiation of variable order: an overview
- (2012) Stefan Samko NONLINEAR DYNAMICS
- General Fractional Calculus, Evolution Equations, and Renewal Processes
- (2011) Anatoly N. Kochubei INTEGRAL EQUATIONS AND OPERATOR THEORY
- Improved contour integral methods for parabolic PDEs
- (2009) J. A. C. Weideman IMA JOURNAL OF NUMERICAL ANALYSIS
- Variable-order fractional differential operators in anomalous diffusion modeling
- (2009) HongGuang Sun et al. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- (2009) P. Zhuang et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Variable Order Modeling of Diffusive-convective Effects on the Oscillatory Flow Past a Sphere
- (2008) H.T.C. Pedro et al. JOURNAL OF VIBRATION AND CONTROL
Discover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversationCreate your own webinar
Interested in hosting your own webinar? Check the schedule and propose your idea to the Peeref Content Team.
Create Now