Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)

Beyond the Poisson renewal process: A tutorial survey

Journal of Computational and Applied Mathematics

Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation

Journal of Computational and Applied Mathematics

The role of the Fox-Wright functions in fractional sub-diffusion of distributed order

Journal of Computational and Applied Mathematics

Numerical treatment of fractional heat equations

Applied Numerical Mathematics

Fractional Adams-Moulton methods

Mathematics and Computers in Simulation

Finite difference approximations for a fractional advection diffusion problem

Journal of Computational Physics

Explicit methods for fractional differential equations and their stability properties

Journal of Computational and Applied Mathematics

Numerical algorithm based on Adomian decomposition for fractional differential equations

Computers & Mathematics with Applications

A fractional differential equation for a MEMS viscometer used in the oil industry

Journal of Computational and Applied Mathematics

Some recent advances in theory and simulation of fractional diffusion processes

Journal of Computational and Applied Mathematics

Symbol Error Rate Performance of QS-CDMA over Frequency Selective Time Non-Selective Multipath Generalized Gamma Fading Channels

Wireless Personal Communications: An International Journal

On the fractional Adams method

Computers & Mathematics with Applications

Statistical physics approaches for network-on-chip traffic characterization

CODES+ISSS '09 Proceedings of the 7th IEEE/ACM international conference on Hardware/software codesign and system synthesis

A variable step size numerical method based on fractional type quadratures for linear integro-differential equations

Advances in Engineering Software

Controllability and Observability of Linear Discrete-Time Fractional-Order Systems

International Journal of Applied Mathematics and Computer Science - Special Section: Selected Topics in Biological Cybernetics, Special Editors: Andrzej Kasiński and Filip Ponulak

Simple Conditions for Practical Stability of Positive Fractional Discrete-Time Linear Systems

International Journal of Applied Mathematics and Computer Science

Fractional differential mask: a fractional differential-based approach for multiscale texture enhancement

IEEE Transactions on Image Processing

Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation

Computers & Mathematics with Applications

Hankel-norm estimation for fractional-order systems using the Rayleigh-Ritz method

Computers & Mathematics with Applications

Fractional operators and some special functions

Computers & Mathematics with Applications

On the global existence of solutions to a class of fractional differential equations

Computers & Mathematics with Applications

Multivariable fractional system approximation with initial conditions using integral state space representation

Computers & Mathematics with Applications

Generalized Variational Problems and Euler-Lagrange equations

Computers & Mathematics with Applications

Fractional radiative transfer equation within Chebyshev spectral approach

Computers & Mathematics with Applications

The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus

Computers & Mathematics with Applications

Fractional calculus models of complex dynamics in biological tissues

Computers & Mathematics with Applications

A numerical scheme for two-dimensional optimal control problems with memory effect

Computers & Mathematics with Applications

Fractional wavelet transform for the quantitative spectral resolution of the composite signals of the active compounds in a two-component mixture

Computers & Mathematics with Applications

On analogues of exponential functions for antisymmetric fractional derivatives

Computers & Mathematics with Applications

Book reviews

Journal of Approximation Theory

Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative

Computers & Mathematics with Applications

Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order

Computers & Mathematics with Applications

Underwater cloth simulation with fractional derivatives

ACM Transactions on Graphics (TOG)

Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations

Applied Numerical Mathematics

Heuristic computational approach using swarm intelligence in solving fractional differential equations

Proceedings of the 12th annual conference companion on Genetic and evolutionary computation

Robust finite-time stability analysis of fractional order time delay systems: new results

CONTROL'10 Proceedings of the 6th WSEAS international conference on Dynamical systems and control

The existence of solutions for a fractional multi-point boundary value problem

Computers & Mathematics with Applications

Further solutions of fractional reaction-diffusion equations in terms of the H-function

Journal of Computational and Applied Mathematics

Comparison between two approximation methods of state space fractional systems

Signal Processing

Variable-order fractional derivatives and their numerical approximations

Signal Processing

Discrete-time fractional variational problems

Signal Processing

Analytical impulse response of a fractional second order filter and its impulse response invariant discretization

Signal Processing

Modified optimal energy and initial memory of fractional continuous-time linear systems

Signal Processing

On nonlinear fractional Klein-Gordon equation

Signal Processing

Chaotic dynamics in Bonhoffer-van der Pol fractional reaction-diffusion system

Signal Processing

A compact finite difference scheme for the fractional sub-diffusion equations

Journal of Computational Physics

Optimal control of fractional diffusion equation

Computers & Mathematics with Applications

Evolutionary computational intelligence in solving the fractional differential equations

ACIIDS'10 Proceedings of the Second international conference on Intelligent information and database systems: Part I

Summability and fractional linear partial differential equations

Journal of Dynamical and Control Systems

Analytical footprints: compact representation of elementary singularities in wavelet bases

IEEE Transactions on Signal Processing

Homotopy perturbation method for fractional Fornberg-Whitham equation

Computers & Mathematics with Applications

On distributed order integrator/differentiator

Signal Processing

Unbounded solutions to a boundary value problem of fractional order on the half-line

Computers & Mathematics with Applications

Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay

Computers & Mathematics with Applications

Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance

Computers & Mathematics with Applications

Numerical approaches to fractional calculus and fractional ordinary differential equation

Journal of Computational Physics

Analytical methods for solving the time-fractional Swift-Hohenberg (S-H) equation

Computers & Mathematics with Applications

A note on boundary value problems for a coupled system of fractional differential equations

Computers & Mathematics with Applications

An efficient approach for solving the Riccati equation with fractional orders

Computers & Mathematics with Applications

Asymptotic integration of (1+α)-order fractional differential equations

Computers & Mathematics with Applications

Optimal control of a fractional diffusion equation with state constraints

Computers & Mathematics with Applications

Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation

Computers & Mathematics with Applications

On holomorphic solutions for nonlinear singular fractional differential equations

Computers & Mathematics with Applications

Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators

Computers & Mathematics with Applications

Some results of the degenerate fractional differential system with delay

Computers & Mathematics with Applications

Attractivity of fractional functional differential equations

Computers & Mathematics with Applications

Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems

Computers & Mathematics with Applications

The existence of positive solutions of singular fractional boundary value problems

Computers & Mathematics with Applications

On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces

Computers & Mathematics with Applications

A generalized fractional KN equation hierarchy and its fractional Hamiltonian structure

Computers & Mathematics with Applications

Existence of solutions for a class of nonlinear Volterra singular integral equations

Computers & Mathematics with Applications

A tau approach for solution of the space fractional diffusion equation

Computers & Mathematics with Applications

Numerical approximations for fractional diffusion equations via splines

Computers & Mathematics with Applications

Solvability for a class of fractional m-point boundary value problem at resonance

Computers & Mathematics with Applications

Theory of fractional hybrid differential equations

Computers & Mathematics with Applications

Generalized exponential time differencing methods for fractional order problems

Computers & Mathematics with Applications

The BEM for numerical solution of partial fractional differential equations

Computers & Mathematics with Applications

The fractional Boltzmann transport equation

Computers & Mathematics with Applications

An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells

Computers & Mathematics with Applications

A numerical technique for solving fractional optimal control problems

Computers & Mathematics with Applications

The existence of a solution for a fractional differential equation with nonlinear boundary conditions considered using upper and lower solutions in reverse order

Computers & Mathematics with Applications

A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order

Computers & Mathematics with Applications

Impulsive boundary value problem for nonlinear differential equations of fractional order

Computers & Mathematics with Applications

Existence results for boundary value problems of nonlinear fractional differential equations

Computers & Mathematics with Applications

Exploiting sensor redundancy for the calculation of fractional derivatives in the presence of noise

Signal Processing

Non-Lyapunov stability and stabilization of fractional order systems including time-varying delays

Proceedings of the 15th WSEAS international conference on Systems

Some generalizations of comparison results for fractional differential equations

Computers & Mathematics with Applications

Image structure preserving denoising using generalized fractional time integrals

Signal Processing

The L2-convergence of the Legendre spectral Tau matrix formulation for nonlinear fractional integro differential equations

Numerical Algorithms

Analytical solution of the linear fractional system of commensurate order

Computers & Mathematics with Applications

Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

Journal of Computational Physics

Approximate controllability of fractional stochastic evolution equations

Computers & Mathematics with Applications

Positive stable realizations of fractional continuous-time linear systems

International Journal of Applied Mathematics and Computer Science

Quadratic spline solution for boundary value problem of fractional order

Numerical Algorithms

A method for solving differential equations of fractional order

Journal of Computational and Applied Mathematics

Existence and multiplicity of positive solutions for singular fractional boundary value problems

Computers & Mathematics with Applications

Existence Theory for an Arbitrary Order Fractional Differential Equation with Deviating Argument

Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications

Multisummability of formal solutions of inhomogeneous linear partial differential equations with constant coefficients

Journal of Dynamical and Control Systems

Non-fragile nonlinear fractional order observer design for a class of nonlinear fractional order systems

Signal Processing

An inverse Sturm-Liouville problem with a fractional derivative

Journal of Computational Physics

Analytical and numerical methods for the stability analysis of linear fractional delay differential equations

Journal of Computational and Applied Mathematics

Multi-term fractional differential equation in reflexive Banach space

Mathematical and Computer Modelling: An International Journal

Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach

Mathematical and Computer Modelling: An International Journal

Stability analysis of fractional differential system with Riemann-Liouville derivative

Mathematical and Computer Modelling: An International Journal

Derivation of an amplitude of information in the setting of a new family of fractional entropies

Information Sciences: an International Journal

Neumann boundary-value problems for a time-fractional diffusion-wave equation in a half-plane

Computers & Mathematics with Applications

The controllability of fractional control systems with control delay

Computers & Mathematics with Applications

Relative controllability of fractional dynamical systems with distributed delays in control

Computers & Mathematics with Applications

Eigenvalue intervals for a class of fractional boundary value problem

Computers & Mathematics with Applications

Fractional electrostatic equations in fractal composite structures

Computers & Mathematics with Applications

Existence and uniqueness of solutions for a coupled system of multi-term nonlinear fractional differential equations

Computers & Mathematics with Applications

Generalized fractional calculus with applications to the calculus of variations

Computers & Mathematics with Applications

Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

Computers & Mathematics with Applications

Nonlinear impulsive problems for fractional differential equations and Ulam stability

Computers & Mathematics with Applications

Theories of thermal stresses based on space-time-fractional telegraph equations

Computers & Mathematics with Applications

Existence of solutions of abstract fractional integrodifferential equations of Sobolev type

Computers & Mathematics with Applications

Positive solutions to singular boundary value problems for fractional functional differential equations with changing sign nonlinearity

Computers & Mathematics with Applications

Existence of solutions for a fractional boundary value problem via the Mountain Pass method and an iterative technique

Computers & Mathematics with Applications

Existence of positive solutions for nonlinear fractional functional differential equation

Computers & Mathematics with Applications

Variational Lyapunov method for fractional differential equations

Computers & Mathematics with Applications

On recent developments in the theory of boundary value problems for impulsive fractional differential equations

Computers & Mathematics with Applications

Relative controllability of fractional dynamical systems with multiple delays in control

Computers & Mathematics with Applications

Stability of fractional-order linear time-invariant systems with multiple noncommensurate orders

Computers & Mathematics with Applications

A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives

Computers & Mathematics with Applications

The technique of Volterra-Stieltjes integral equations in the application to infinite systems of nonlinear integral equations of fractional orders

Computers & Mathematics with Applications

A second order explicit finite difference method for the fractional advection diffusion equation

Computers & Mathematics with Applications

Controllability and observability of impulsive fractional linear time-invariant system

Computers & Mathematics with Applications

New solutions for some time fractional differential equations

International Journal of Computing Science and Mathematics

The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain

Journal of Computational Physics

Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation

Automation and Remote Control

Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

Journal of Computational Physics

Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: Modeling and hardware implementation

Automation and Remote Control

Evaluation of generalized Mittag---Leffler functions on the real line

Advances in Computational Mathematics

The asymptotics of the solutions to the anomalous diffusion equations

Computers & Mathematics with Applications

Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching

Computers & Mathematics with Applications

The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations

Computers & Mathematics with Applications

Gauss-Jacobi-type quadrature rules for fractional directional integrals

Computers & Mathematics with Applications

Fractional differential equations and related exact mechanical models

Computers & Mathematics with Applications

Fractional dynamics and MDS visualization of earthquake phenomena

Computers & Mathematics with Applications

Fractional Sturm-Liouville problem

Computers & Mathematics with Applications

Fractional-order control of a micrometric linear axis

Journal of Control Science and Engineering

Fractional Sturm-Liouville eigen-problems: Theory and numerical approximation

Journal of Computational Physics

Numerical simulation of the fractional Bloch equations

Journal of Computational and Applied Mathematics

Existence of solutions for fractional impulsive neutral functional differential equations with infinite delay

Neurocomputing

Application of the collocation method for solving nonlinear fractional integro-differential equations

Journal of Computational and Applied Mathematics

Numerical and analytical solutions of new generalized fractional diffusion equation

Computers & Mathematics with Applications

On Some New Fractional Type Heinz Inequalities

International Journal of Advanced Pervasive and Ubiquitous Computing

On new existence results for fractional integro-differential equations with impulsive and integral conditions

Computers & Mathematics with Applications

Original articles: Discontinuous dynamical systems for fault detection. A unified approach including fractional and integer order dynamics

Mathematics and Computers in Simulation

Original article: On some generalizations of the implicit Euler method for discontinuous fractional differential equations

Mathematics and Computers in Simulation

Identification time-delayed fractional order chaos with functional extrema model via differential evolution

Expert Systems with Applications: An International Journal

Exponentially accurate spectral and spectral element methods for fractional ODEs

Journal of Computational Physics

A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

Journal of Computational Physics

A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation

Applied Numerical Mathematics

Fractional Differential Mathematical Models of the Dynamics of Nonequilibrium Geomigration Processes and Problems with Nonlocal Boundary Conditions

Cybernetics and Systems Analysis