Fractional differential equations theoretical (28 Ergebnisse)

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book aims to establish a foundation for fractional derivatives and fractional differential equations. The theory of fractional derivatives enables considering any positive order of differentiation. The history of research in this field is very long, with its origins dating back to Leibniz. Since then, many great mathematicians, such as Abel, have made contributions that cover not only theoretical aspects but also physical applications of fractional calculus. The fractional partial differential equations govern phenomena depending both on spatial and time variables and require more subtle treatments. Moreover, fractional partial differential equations are highly demanded model equations for solving real-world problems such as the anomalous diffusion in heterogeneous media.The studies of fractional partial differential equations have continued to expand explosively. However we observe that available mathematical theory for fractional partial differential equations is not still complete. In particular, operator-theoretical approaches are indispensable for some generalized categories of solutions such as weak solutions, but feasible operator-theoretic foundations for wide applications are not available in monographs.To make this monograph more readable, we are restricting it to a few fundamental types of time-fractional partial differential equations, forgoing many other important and exciting topics such as stability for nonlinear problems. However, we believe that this book works well as an introduction to mathematical research in such vast fields.…

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Taschenbuch. Zustand: Neu. Time-Fractional Differential Equations | A Theoretical Introduction | Adam Kubica (u. a.) | Taschenbuch | SpringerBriefs in Mathematics | x | Englisch | 2020 | Springer | EAN 9789811590658 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This thesis is a study of inverse problems in fractional calculus where two major theorems of existence and uniqueness for the solution of fractional order integro differential equations have been proved in different approaches. Delay fractional order integro differential equations have also been discussed; some related results have been achieved. Also, three methods for solving inverse problems of fractional order integro differential equations with and without delay have been improved. These methods were illustrated by some examples. Some applications of problems associated with fractional order integro differential equations have been presented and solved by the improved methods. Finally, the results of the work have been discussed, and some recommended proposals and for future work have been suggested.…

Paperback. Zustand: Brand New. 134 pages. 9.25x6.10x0.31 inches. In Stock. This item is printed on demand.

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