Fractional differential equations : modeling, discretization, and numerical solvers / Angelamaria Cardone, Marco Donatelli, Fabio Durastante, Roberto Garrappa, Mariarosa Mazza, Marina Popolizio, editors.
Cardone, Angelamaria, editor.; Donatelli, Marco, editor.; Durastante, Fabio, editor.; Garrappa, Roberto, editor.; Mazza, Mariarosa, editor.; Popolizio, Marina, editor.
2023
QA372
Available Online

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Title Fractional differential equations : modeling, discretization, and numerical solvers / Angelamaria Cardone, Marco Donatelli, Fabio Durastante, Roberto Garrappa, Mariarosa Mazza, Marina Popolizio, editors.
ISBN 9789811977169 (electronic bk.)
981197716X (electronic bk.)
9789811977152
9811977151
DOI https://doi.org/10.1007/978-981-19-7716-9
Published Singapore : Springer, [2023]
Copyright ©2023
Language English
Description 1 online resource (xii, 146 pages) : illustrations (some color).
Item Number 10.1007/978-981-19-7716-9 doi
Call Number QA372
Dewey Decimal Classification 515/.35
Summary The content of the book collects some contributions related to the talks presented during the INdAM Workshop "Fractional Differential Equations: Modelling, Discretization, and Numerical Solvers", held in Rome, Italy, on July 12⁰́b314, 2021. All contributions are original and not published elsewhere. The main topic of the book is fractional calculus, a topic that addresses the study and application of integrals and derivatives of noninteger order. These operators, unlike the classic operators of integer order, are nonlocal operators and are better suited to describe phenomena with memory (with respect to time and/or space). Although the basic ideas of fractional calculus go back over three centuries, only in recent decades there has been a rapid increase in interest in this field of research due not only to the increasing use of fractional calculus in applications in biology, physics, engineering, probability, etc., but also thanks to the availability of new and more powerful numerical tools that allow for an efficient solution of problems that until a few years ago appeared unsolvable. The analytical solution of fractional differential equations (FDEs) appears even more difficult than in the integer case. Hence, numerical analysis plays a decisive role since practically every type of application of fractional calculus requires adequate numerical tools. The aim of this book is therefore to collect and spread ideas mainly coming from the two communities of numerical analysts operating in this field - the one working on methods for the solution of differential problems and the one working on the numerical linear algebra side - to share knowledge and create synergies. At the same time, the book intends to realize a direct bridge between researchers working on applications and numerical analysts. Indeed, the book collects papers on applications, numerical methods for differential problems of fractional order, and related aspects in numerical linear algebra. The target audience of the book is scholars interested in recent advancements in fractional calculus.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed June 21, 2023).
Added Author Cardone, Angelamaria, editor.
Donatelli, Marco, editor.
Durastante, Fabio, editor.
Garrappa, Roberto, editor.
Mazza, Mariarosa, editor.
Popolizio, Marina, editor.
Series Springer INdAM series ; v. 50. 2281-5198
Available in Other Form Print version: 9789811977152
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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 Mittag⁰́b3Leffler 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.

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