Fractional Differential Equations -

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Résumé :
Chapter 1. A New Diffusive Representation for Fractional Derivatives, Part I: Construction, Implementation and Numerical Examples.- Chapter 2. Exact solutions for the fractional nonlinear Boussinesq equation.- Chapter 3. A numerical procedure for fractional-time-space differential equations with the spectral fractional Laplacian.- Chapter 4. Spectral Analysis of Matrices in B-Spline Galerkin Methods for Riesz Fractional Equations.- Chapter 5.Do the Mittag-Leffler functions preserve the properties of their matrix arguments?.- Chapter 6. On the solutions of the fractional generalized Gierer-Meinhardt Model.- Chapter 7. A convolution-based method for an integro-differential equation in mechanics.- Chapter 8. A MATLAB code for fractional differential equations based on two-step spline collocation methods....

Biographie:

Angelamaria Cardone is an Associate Professor of Numerical Analysis at the Department of Mathematics, University of Salerno, Italy. Her scientific activity is mainly focused on the numerical solution of Volterra integral equations and of differential equations, also of fractional type, and on the development of related mathematical software.

Marco Donatelli is an Associate Professor of Numerical Analysis at the University of Insubria, Italy. His scientific activity is mainly focused on the regularization of inverse problems and numerical linear algebra methods, with special attention to iterative methods for large linear systems arising from the discretization of integral and differential equations.

Fabio Durastante is a Researcher in Numerical Analysis at the Department of Mathematics, University of Pisa, Italy. His scientific activity is mainly focused on numerical linear algebra and its application to the solution of partial differential equations of both integer and fractional order, high-performance computing, and computation of matrix functions.

Roberto Garrappa is an Associate Professor of Numerical Analysis at the Department of Mathematics, University of Bari, Italy. His scientific activity is mainly focused on numerical methods for fractional differential equations and for the computation of special functions in fractional calculus.

Mariarosa Mazza is a Researcher in Numerical Analysis at the University of Insubria, Italy. Her scientific activity is mainly focused on numerical linear algebra problems and related applications, with special attention to iterative methods for discretized partial differential equations, also of fractional type. Other interests include image deblurring and approximation issues.

Marina Popolizio is an Associate Professor of Numerical Analysis at the Polytechnic University of Bari, Italy. Her scientific activity is mainly focused on numerical linear algebra and numerical methods for fractional differential equations, with special attention to the computation of matrix functions.