A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0003
Space-time fractional stochastic partial differential equations with Lévy noise
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2020-0009
Fractional impulsive differential equations: Exact solutions, integral equations and short memory case
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0012
Fractional calculus in economic growth modelling of the group of seven
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0009
The failure of certain fractional calculus operators in two physical models
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0017
Some further results of the laplace transform for variable–order fractional difference equations
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0084
The flaw in the conformable calculus: It is conformable because it is not fractional
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0016
On Riesz derivative
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0019
The probabilistic point of view on the generalized fractional partial differential equations
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/FCA-2019-0033
Time-changed fractional Ornstein-Uhlenbeck process
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2020-0022
Discovering a universal variable-order fractional model for turbulent Couette flow using a physics-informed neural network
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0086
A time-space Hausdorff derivative model for anomalous transport in porous media
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0079
Perfect control for right-invertible Grünwald-Letnikov plants – an innovative approach to practical implementation
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0026
Porous functions
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0078
Supercritical fractional Kirchhoff type problems
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0071
Homogeneous robin boundary conditions and discrete spectrum of fractional eigenvalue problem
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0005
Method of upper and lower solutions for nonlinear Caputo fractional difference equations and its applications
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0069
Lagrangian solver for vector fractional diffusion in bounded anisotropic aquifers: Development and application
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0083
State-of-art survey of fractional order modeling and estimation methods for lithium-ion batteries
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0076
Well-posedness of the fractional Zener wave equation for heterogeneous viscoelastic materials
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2020-0005
Fractional-order modelling and parameter identification of electrical coils
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0013
Optimal control of linear systems of arbitrary fractional order
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0011
A CAD-based algorithm for solving stable parameter region of fractional-order systems with structured perturbations
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0030
On the harmonic extension approach to fractional powers in Banach spaces
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2020-0055
A note on fractional powers of strongly positive operators and their applications
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0020
Existence of mild solution of a class of nonlocal fractional order differential equation with not instantaneous impulses
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0029
Relationship between controllability and observability of standard and fractional different orders discrete-time linear system
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0010
The numerical algorithms for discrete Mittag-Leffler functions approximation
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0006
On fractional differential inclusions with Nonlocal boundary conditions
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0027
An investigation on continuous time random walk model for bedload transport
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0077
Fractional-order value identification of the discrete integrator from a noised signal. part I
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0014
On fractional regularity of distributions of functions in Gaussian random variables
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0066
Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2020-0061
Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0070
Analysis of fractional order error models in adaptive systems: Mixed order cases
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0058
Compactness criteria for fractional integral operators
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0067
Weyl integrals on weighted spaces
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0065
Embeddings of weighted generalized Morrey spaces into Lebesgue spaces on fractal sets
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0064
From power laws to fractional diffusion processes with and without external forces, the non direct way
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0004
Linear stationary fractional differential equations
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0025
Dispersion analysis for wave equations with fractional Laplacian loss operators
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0082
High-order algorithms for riesz derivative and their applications (IV)
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0080
A survey on fractional asymptotic expansion method: A forgotten theory
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0062
Tempered relaxation equation and related generalized stable processes
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2020-0063
Controllability of nonlinear stochastic fractional higher order dynamical systems
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0056
A modified time-fractional diffusion equation and its finite difference method: Regularity and error analysis
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0054
Estimates of damped fractional wave equations
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0053
Algebraic fractional order differentiator based on the pseudo-state space representation
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0073
Asymptotics of fundamental solutions for time fractional equations with convolution kernels
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2020-0059
Existence of solutions for nonlinear fractional order p-Laplacian differential equations via critical point theory
来源期刊:Fractional Calculus and Applied AnalysisDOI:10.1515/fca-2019-0051