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Fractional calculus: Models and numerical methods: Second edition

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Diethelm, Kai
dc.contributor.author Scalas, Enrico
dc.contributor.author Trujillo, Juan J.
dc.date.accessioned 2022-04-29T12:59:04Z
dc.date.available 2022-04-29T12:59:04Z
dc.date.issued 2016-11-01
dc.identifier.citation Baleanu, Dumitru...et al. (2016). "Fractional calculus: Models and numerical methods: Second edition", Fractional Calculus: Models and Numerical Methods: Second Edition, Vol. 5, pp. 1-448. tr_TR
dc.identifier.isbn 9789813140042
dc.identifier.isbn 9789813140035
dc.identifier.uri http://hdl.handle.net/20.500.12416/5482
dc.description.abstract This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model tick-by-tick (log)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models. All these topics are complementary to what is dealt with in existing books on fractional calculus and its applications. This book will keep in mind the trade-off between full mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of their choice. The second edition of the book has been expanded and now includes a discussion of additional, newly developed numerical methods for fractional calculus and a chapter on the application of fractional calculus for modeling processes in the life sciences. © 2017 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1142/10044 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.title Fractional calculus: Models and numerical methods: Second edition tr_TR
dc.type book tr_TR
dc.relation.journal Fractional Calculus: Models and Numerical Methods: Second Edition tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 5 tr_TR
dc.identifier.startpage 1 tr_TR
dc.identifier.endpage 448 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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