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001469859 0247_ $$a10.1007/978-981-19-7716-9$$2doi
001469859 035__ $$aSP(OCoLC)1384457835
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001469859 24500 $$aFractional differential equations :$$bmodeling, discretization, and numerical solvers /$$cAngelamaria Cardone, Marco Donatelli, Fabio Durastante, Roberto Garrappa, Mariarosa Mazza, Marina Popolizio, editors.
001469859 264_1 $$aSingapore :$$bSpringer,$$c[2023]
001469859 264_4 $$c©2023
001469859 300__ $$a1 online resource (xii, 146 pages) :$$billustrations (some color).
001469859 336__ $$atext$$btxt$$2rdacontent
001469859 337__ $$acomputer$$bc$$2rdamedia
001469859 338__ $$aonline resource$$bcr$$2rdacarrier
001469859 4901_ $$aSpringer INdAM series,$$x2281-5198 ;$$vvolume 50
001469859 5050_ $$aChapter 1. A New Diffusive Representation for Fractional Derivatives, Part I: Construction, Implementation and Numerical Examples -- Chapter 2. Exact solutions for the fractional nonlinear Boussinesq equation -- Chapter 3. A numerical procedure for fractional-time-space differential equations with the spectral fractional Laplacian -- Chapter 4. Spectral Analysis of Matrices in B-Spline Galerkin Methods for Riesz Fractional Equations -- Chapter 5.Do the Mittag⁰́b3Leffler functions preserve the properties of their matrix arguments? -- Chapter 6. On the solutions of the fractional generalized Gierer-Meinhardt Model -- Chapter 7. A convolution-based method for an integro-differential equation in mechanics -- Chapter 8. A MATLAB code for fractional differential equations based on two-step spline collocation methods.
001469859 506__ $$aAccess limited to authorized users.
001469859 520__ $$aThe 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.
001469859 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 21, 2023).
001469859 650_0 $$aFractional differential equations.
001469859 655_0 $$aElectronic books.
001469859 7001_ $$aCardone, Angelamaria,$$eeditor.
001469859 7001_ $$aDonatelli, Marco,$$eeditor.
001469859 7001_ $$aDurastante, Fabio,$$eeditor.
001469859 7001_ $$aGarrappa, Roberto,$$eeditor.
001469859 7001_ $$aMazza, Mariarosa,$$eeditor.
001469859 7001_ $$aPopolizio, Marina,$$eeditor.
001469859 77608 $$iPrint version: $$z9811977151$$z9789811977152$$w(OCoLC)1346351497
001469859 830_0 $$aSpringer INdAM series ;$$vv. 50.$$x2281-5198
001469859 852__ $$bebk
001469859 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-19-7716-9$$zOnline Access$$91397441.1
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