Last edited by Tusar
Tuesday, November 17, 2020 | History

7 edition of Fractional Differential Equations (Mathematics in Science and Engineering) found in the catalog.

Fractional Differential Equations (Mathematics in Science and Engineering)

  • 348 Want to read
  • 30 Currently reading

Published by Academic Press .
Written in English

    Subjects:
  • Differential Equations,
  • Mathematics,
  • Science/Mathematics,
  • Applied,
  • General,
  • Mathematics / Applied,
  • Calculus

  • The Physical Object
    FormatHardcover
    Number of Pages340
    ID Numbers
    Open LibraryOL9283240M
    ISBN 100125588402
    ISBN 109780125588409


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Fractional Differential Equations (Mathematics in Science and Engineering) by Igor Podlubny Download PDF EPUB FB2

A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical Fractional Differential Equations book methods of solution of fractional differential equations, and many Cited by: A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many.

This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving Cited by: About this book This book provides a comprehensive set of practical tools for exploring and discovering the world of fractional calculus and its applications, and thereby a means of bridging the theory of fractional differential equations (FDE) with real-world facts.

It concentrates on the class of fractional derivatives most important in applications, the Caputo Fractional Differential Equations book, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations.

The text is a useful tool for mathematicians and researchers from the applied sciences : Springer-Verlag Berlin Heidelberg. This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations.

It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models. It is mainly application oriented. It contains a complete theory of Fractional Differential Equations.

It can be used as a postgraduate-level textbook in many different disciplines within science and engineering. It contains an up-to-date bibliography. It provides problems and directions for further Edition: 1.

Fractional differential equations (FDEs) involve fractional derivatives of the form (dα/dxα), which are defined for α>0, where α is not necessarily an integer.

They are generalizations of the ordinary differential equations to a random (noninteger) order. Podlubny, I. () Fractional Differential Equations. Academic Press, San Diego. has been cited by the following article: TITLE: Kummer’s 24 Solutions of the Hypergeometric Differential Equation with the Aid of Fractional Calculus.

AUTHORS: Tohru Morita, Ken-ichi Sato. di erential equations for boundary value problem. The symmetric positive solutions of four-point boundary value problems for nonlin-ear second-order di erential equations Abstract: In this paper, we are concerned with the existence of symmetric positive solutions for second-order di erential equations.

Under the suitableFile Size: 2MB. Fractional Differential Equations An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of their Solution and some of.

For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'.This book is written for readers who are new to the fields of fractional derivatives and fractional-order /5(4).

fractional differential equations Download fractional differential equations or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get fractional differential equations book now.

This site is like a library, Use search box in the widget to get ebook that you want. The book is a good resource to familiarize oneself with current achievements in the theory of fractional differential equations of various types.

It is well written, and every chapter is equipped with an interesting introduction. --Mathematical Reviews The last chapter of this book is devoted to fractional partial differential : Yong Zhou. This book features original research articles on the topic of mathematical modelling and fractional differential equations.

With Applications to Fractional Differential Equations and Science. Author: Carl F. Lorenzo,Tom T. Hartley; Publisher: John Wiley & Sons ISBN: Category: Mathematics Page: View: DOWNLOAD NOW» Addresses the rapidly growing ­field of fractional calculus and provides simpli­fied solutions for linear commensurate-order fractional differential equations ­The Fractional.

A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special. Fractional Partial Differential Equations and Their Numerical Solutions.

This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope.

Fractional Calculus: Integral and Differential Equations of Fractional Order We now observe that an alternative definition of fractional derivative, orig-inally introduced by Caputo [19], [27] in the late sixties and adopted by Ca-puto and Mainardi [28] in the framework of the theory of Linear ViscoelasticityFile Size: KB.

Preview — An Introduction To The Fractional Calculus And Fractional Differential Equations by Kenneth S. Miller. An Introduction To The Fractional Calculus And Fractional Differential Equations.

Commences with the historical development of fractional calculus, its mathematical theory--particularly the Riemann-Liouville version/5. This book covers the following topics about Fractional Calculus: Elementary preliminaries, Grunwald’s construction, The Riemann-Liouville construction, Abel’s solution of the tautochrone problem, Heaviside’s solution of the diffusion equation, Application to the differention of fractal curves, Charge density on a needle, Eigenfunctions of derivative operators of.

This book features original research articles on the topic of mathematical modelling and fractional differential by: 3. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples.

An introduction to the fractional calculus and fractional differential equations Kenneth S. Miller, Bertram Ross Commences with the historical development of fractional calculus, its mathematical theory—particularly the Riemann-Liouville version.

Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications.

Elsevier. Elsevier. ISBN 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. Read "Fractional Differential Equations An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications" by Igor Podlubny available from Rakuten Kobo.

This book is a landmark title in the continuous move from integer to non-inBrand: Elsevier Science. This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful book describes theoretical and Price: $ Fractional differential equations (FDE) have attracted the attention of many researchers and scientists due to their importance in different fields of study such as viscoelasticity, fluid Author: Kai Diethelm.

The fundamentals of fractional differential equations and the basic preliminaries of fuzzy fractional differential equations are first introduced, followed by numerical solutions, comparisons of.

In recent years, fractional differential equations have been investigated by many authors. Rawashdeh used the collocation spline method to approximate the solution of fractional equations.

Momani obtained local and global exis-tence and uniqueness solution of the integro-differential by: Fractional Calculus Integral and Differential Equations of Fractional Order. This note covers the following topics: Introduction To Fractional Calculus, Fractional Integral Equations, Fractional Differential Equations and The Mittag-leffler Type Functions.

Author(s): Rudolf Gorenflo and Francesco Mainardi. This book discusses numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations, involving fractional differential and integral operators.

Differential and integral operators presented in the book include those with exponential decay law, known as Caputo–Fabrizio. Solution of the Homogeneous Equation, 6. Explicit Representation of Solution, 7. Relation to the Green's Function, 8. Solution of the Nonhomogeneous Fractional Differential Equation, 9.

Convolution of Fractional Green's Functions, Reduction of Fractional Differential Equations to Ordinary Differential Equations,   A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional 5/5(1).

This invaluable book is devoted to a rapidly developing area on the research of the qualitative theory of fractional differential equations. It is self-contained and unified in presentation, and provides readers the necessary background material required to go further into the subject and explore the rich research : World Scientific Publishing Company.

fractional differential equations, can be found in the book of Podlubny [9]. Over the past few years, a number of fractional calculus applications are being used and in the field of science, engineering and economics [4]. Research on non-linear partial differential equations and linearization techniques hasAuthor: Iqra Javed, Ashfaq Ahmad, Muzammil Hussain, S.

Iqbal. Partial fractional differential equations are the topic of chapter 6. Since, in general, much more information is known about ordinary fractional differential equations than about their partial counterparts, it is understandable that this chapter is significantly shorter than chapters 4 and 5.

Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications - Ebook written by Igor Podlubny.

Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Fractional Differential Equations Author: Igor Podlubny.

This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equations.

It provides the readers the necessary background material required to go further into the subject and explore the rich research literature. Fractional differential equations can describe the dynamics of several complex and nonlocal systems with memory. They arise in many scientific and engineering areas such as physics, chemistry, biology, biophysics, economics, control theory, signal and image processing, etc.

Particularly, nonlinear systems describing different phenomena can be modeled with fractional Author: María I. Troparevsky, Silvia A. Seminara, Marcela A.

Fabio.Bibliography Includes bibliographical references (p. ) and indexes. Contents. Historical Survey-- The Modern Approach-- The Riemann-Liouville Fractional Integral-- The Riemann-Liouville Fractional Calculus-- Fractional Differential Equations-- Further Results Associated with Fractional Differential Equations-- The Weyl Fractional Calculus-- Some Historical Author: Miller, Kenneth S.A difference equation is a relation between the differences of a function at one or more general values of the independent variable.

These equations usually describe the evolution of certain phenomena over the course of time. The present paper deals with the existence and uniqueness of solutions of fractional difference equations.