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  7. Fractional Calculus and Fractional Differential Equations

Fractional Calculus and Fractional Differential Equations

Livre broché | Anglais | Trends in Mathematics
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Description

This book provides a broad overview of the latest developments in fractional calculus and fractional differential equations (FDEs) with an aim to motivate the readers to venture into these areas. It also presents original research describing the fractional operators of variable order, fractional-order delay differential equations, chaos and related phenomena in detail. Selected results on the stability of solutions of nonlinear dynamical systems of the non-commensurate fractional order have also been included. Furthermore, artificial neural network and fractional differential equations are elaborated on; and new transform methods (for example, Sumudu methods) and how they can be employed to solve fractional partial differential equations are discussed.

The book covers the latest research on a variety of topics, including: comparison of various numerical methods for solving FDEs, the Adomian decomposition method and its applications to fractional versions of the classical Poisson processes, variable-order fractional operators, fractional variational principles, fractional delay differential equations, fractional-order dynamical systems and stability analysis, inequalities and comparison theorems in FDEs, artificial neural network approximation for fractional operators, and new transform methods for solving partial FDEs. Given its scope and level of detail, the book will be an invaluable asset for researchers working in these areas.


Spécifications

Parties prenantes

Editeur:

Contenu

Nombre de pages :
180
Langue:
Anglais
Collection :

Caractéristiques

EAN:
9789811392290
Date de parution :
13-08-20
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
155 mm x 235 mm
Poids :
362 g

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