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Developments in Mathematics #27: Topics in Fractional Differential Equations

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Developments in Mathematics #27: Topics in Fractional Differential Equations Cover

 

Synopses & Reviews

Publisher Comments:

​​During the last decade, there has been an explosion of interest in fractional dynamics as it 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. Fractional calculus generalizes integrals and derivatives to non-integer orders and has emerged as an important tool for the study of dynamical systems where classical methods reveal strong limitations. This book is addressed to a wide audience of researchers working with fractional dynamics, including mathematicians, engineers, biologists, and physicists. This timely publication may also be suitable for a graduate level seminar for students studying differential equations. Topics in Fractional Differential Equations

Synopsis:

This is devoted to exploration of the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative.

Synopsis:

During the last decade, there has been an explosion of interest in fractional dynamics as it 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. Fractional calculus generalizes integrals and derivatives to non-integer orders and has emerged as an important tool for the study of dynamical systems where classical methods reveal strong limitations. This book is addressed to a wide audience of researchers working with fractional dynamics, including mathematicians, engineers, biologists, and physicists. This timely publication may also be suitable for a graduate level seminar for students studying differential equations. Topics in Fractional Differential Equations

Synopsis:

​​​ Topics in Fractional Differential Equations

Table of Contents

​Preface.- 1. Preliminary Background.- 2. Partial Hyperbolic Functional Differential Equations.- 3. Partial Hyperbolic Functional Differential Inclusions.- 4. Impulsive Partial Hyperbolic Functional Differential Equations.- 5. Impulsive Partial Hyperbolic Functional Differential Inclusions.- 6. Implicit Partial Hyperbolic Functional Differential Equations.- 7. Fractional Order Riemann-Liouville Integral Equations.- References.- Index.​

Product Details

ISBN:
9781461440352
Author:
Abbas, Sa D.
Publisher:
Springer
Author:
N'Guerekata, Gaston M.
Author:
Benchohra, Mouffak
Author:
Abbas, Saïd
Location:
New York, NY
Subject:
Differential Equations
Subject:
Caputo fractional derivative
Subject:
Darboux problem
Subject:
Riemann-Liouville Integral equations
Subject:
Fractional calculus
Subject:
fractional differential equations
Subject:
hyperbolic partial differential equation
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
Integral equations
Subject:
Difference and Functional Equations
Subject:
Mathematics-Differential Equations
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Differential equations, partial
Subject:
Functional equations
Copyright:
Edition Description:
2012
Series:
Developments in Mathematics
Series Volume:
27
Publication Date:
20120724
Binding:
HARDCOVER
Language:
English
Pages:
368
Dimensions:
235 x 155 mm

Related Subjects

Engineering » Communications » Telephony
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Real Analysis

Developments in Mathematics #27: Topics in Fractional Differential Equations New Hardcover
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$140.25 In Stock
Product details 368 pages Springer - English 9781461440352 Reviews:
"Synopsis" by , This is devoted to exploration of the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative.
"Synopsis" by , During the last decade, there has been an explosion of interest in fractional dynamics as it 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. Fractional calculus generalizes integrals and derivatives to non-integer orders and has emerged as an important tool for the study of dynamical systems where classical methods reveal strong limitations. This book is addressed to a wide audience of researchers working with fractional dynamics, including mathematicians, engineers, biologists, and physicists. This timely publication may also be suitable for a graduate level seminar for students studying differential equations. Topics in Fractional Differential Equations
"Synopsis" by , ​​​ Topics in Fractional Differential Equations
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