Technical communique: Mittag-Leffler stability of fractional order nonlinear dynamic systems
Automatica (Journal of IFAC)
Computing the Local Continuity Order of Optical Flow Using Fractional Variational Method
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Simple Conditions for Practical Stability of Positive Fractional Discrete-Time Linear Systems
International Journal of Applied Mathematics and Computer Science
IEEE Transactions on Image Processing
Computers & Mathematics with Applications
On analogues of exponential functions for antisymmetric fractional derivatives
Computers & Mathematics with Applications
On distributed order integrator/differentiator
Signal Processing
A note on boundary value problems for a coupled system of fractional differential equations
Computers & Mathematics with Applications
Anti-periodic fractional boundary value problems
Computers & Mathematics with Applications
Computers & Mathematics with Applications
On holomorphic solutions for nonlinear singular fractional differential equations
Computers & Mathematics with Applications
Dynamical analysis of fractional-order modified logistic model
Computers & Mathematics with Applications
Entropy analysis of the DNA code dynamics in human chromosomes
Computers & Mathematics with Applications
A generalized fractional KN equation hierarchy and its fractional Hamiltonian structure
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Stability and non-standard finite difference method of the generalized Chua's circuit
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Some boundary value problems of fractional differential equations and inclusions
Computers & Mathematics with Applications
Surpassing the fractional derivative: Concept of the memory-dependent derivative
Computers & Mathematics with Applications
The fractional Boltzmann transport equation
Computers & Mathematics with Applications
Existence and uniqueness of mild solutions for abstract delay fractional differential equations
Computers & Mathematics with Applications
The short memory principle for solving Abel differential equation of fractional order
Computers & Mathematics with Applications
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
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
Analytical modelling of fractional advection-dispersion equation defined in a bounded space domain
Mathematical and Computer Modelling: An International Journal
Stability analysis of fractional differential system with Riemann-Liouville derivative
Mathematical and Computer Modelling: An International Journal
An efficient method for segmentation of images based on fractional calculus and natural selection
Expert Systems with Applications: An International Journal
Existence of solutions for fractional differential systems with antiperiodic boundary conditions
Computers & Mathematics with Applications
Relative controllability of fractional dynamical systems with distributed delays in control
Computers & Mathematics with Applications
The fractional-order modeling and synchronization of electrically coupled neuron systems
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
Sequential fractional differential equations with three-point boundary conditions
Computers & Mathematics with Applications
A high order schema for the numerical solution of the fractional ordinary differential equations
Journal of Computational Physics
Generalized Mittag-Leffler stability of multi-variables fractional order nonlinear systems
Automatica (Journal of IFAC)
A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation
Computers & Mathematics with Applications
Correlation structure of fractional Pearson diffusions
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Mathematics and Computers in Simulation
Journal of Computational and Applied Mathematics
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In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing. For example, in the last three fields, some important considerations such as modelling, curve fitting, filtering, pattern recognition, edge detection, identification, stability, controllability, observability and robustness are now linked to long-range dependence phenomena. Similar progress has been made in other fields listed here. The scope of the book is thus to present the state of the art in the study of fractional systems and the application of fractional differentiation. As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians.