Topics in Fractional Differential Equations

Name: Topics in Fractional Differential Equations
SKU: 19864462
Price: 267.99 AUD
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Hardback

Series:

Developments in Mathematics,

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Description

Topics in Fractional Differential Equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. Fractional calculus generalizes the integrals and derivatives to non-integer orders. During the last decade, fractional calculus was found to play a fundamental role in the modeling of a considerable number of phenomena; in particular the modeling of memory-dependent and complex media such as porous media. It has emerged as an important tool for the study of dynamical systems where classical methods reveal strong limitations. Some equations present delays which may be finite, infinite, or state-dependent. Others are subject to an impulsive effect. The above problems are studied using the fixed point approach, the method of upper and lower solution, and the Kuratowski measure of noncompactness. This book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists.

Release date Australia

August 17th, 2012

Author

Audience

Professional & Vocational

Illustrations

XIV, 398 p.

Pages

398

Series

Developments in Mathematics,

Dimensions

156x234x23

ISBN-13

9781461440352

Product ID

19864462

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