# Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and ... (Mathematics in Science & Engineering)

## Podlubny, Igor; Podlubny; Podlubny, I.

0 avg rating
( 0 ratings by GoodReads )

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. 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 mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. 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 of applications. The key features include: a unique survey of many applications of fractional calculus; presents basic theory; includes a unified presentation of selected classical results, which are important for applications; provides many examples; contains a separate chapter of fractional order control systems, which opens new perspectives in control theory; the first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches; and, includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives.

"synopsis" may belong to another edition of this title.

Review:

"...This is by no means the first (or the last) book on the subject of fractional calculus, but indeed it is one that would undoubtedly attract the attention (and successfully serve the needs) of mathematical, physical, and engineering scientists looking for applications of fractional calculus. I, therefore, recommend this well-written book to all users of fractional calculus." --H. M. Srivastava, Zentralblatt MATH

Igor Podlubny is an Associate Professor at the Faculty of Mining, Ecology, Process Control, and Geotechnology of the Technical University of Kosice. He received his MSc in applied mathematics degree and Ph.D. degree in differential equations and mathematical physics from the Odessa State University, Ukraine, and the RNDr degree from the Comenius University in Bratislava, Slovakia. His work and interests focus on applications of mathematics in other fields, and especially on applications of differential equations of an arbitrary order.

£ 80

Shipping: £ 8
From United Kingdom to U.S.A.

Destination, Rates & Speeds

## 1.Fractional Differential Equations

ISBN 10: 0125588402 ISBN 13: 9780125588409
New Hardcover Quantity Available: 1
Seller
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating

Book Description Academic Press, 1998. Hardback. Book Condition: NEW. 9780125588409 340pp., Hardback, This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0895104

£ 80
Convert Currency
Shipping: £ 8
From United Kingdom to U.S.A.
Destination, Rates & Speeds

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

ISBN 10: 0125588402 ISBN 13: 9780125588409
New Paperback Quantity Available: 1
Print on Demand
Seller
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating

Book Description Academic Press, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780125588409_lsuk

£ 91.80
Convert Currency
Shipping: £ 2.88
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 3.Fractional Differential Equations

ISBN 10: 0125588402 ISBN 13: 9780125588409
New Quantity Available: > 20
Print on Demand
Seller
PBShop
(Secaucus, NJ, U.S.A.)
Rating

Book Description Elsevier Science Publishing Co Inc, 1998. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9780125588409

£ 103.16
Convert Currency
Shipping: £ 3.27
Within U.S.A.
Destination, Rates & Speeds

## 4.Fractional Differential Equations

ISBN 10: 0125588402 ISBN 13: 9780125588409
New Quantity Available: > 20
Print on Demand
Seller
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating

Book Description Elsevier Science Publishing Co Inc, 1998. HRD. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9780125588409

£ 97.72
Convert Currency
Shipping: £ 9
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 5.Fractional Differential Equations, Volume 198: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their . (Mathematics in Science and Engineering)

ISBN 10: 0125588402 ISBN 13: 9780125588409
New Hardcover Quantity Available: 10
Seller
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating

Book Description Academic Press, 1998. Hardcover. Book Condition: New. Bookseller Inventory # INGM9780125588409

£ 104.46
Convert Currency
Shipping: £ 3.27
Within U.S.A.
Destination, Rates & Speeds

## 6.Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications (Hardback)

ISBN 10: 0125588402 ISBN 13: 9780125588409
New Hardcover Quantity Available: 10
Print on Demand
Seller
The Book Depository
(London, United Kingdom)
Rating

Book Description Elsevier Science Publishing Co Inc, United States, 1998. Hardback. Book Condition: New. 231 x 160 mm. Language: English . Brand New Book ***** Print on Demand *****.This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. 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 mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. 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 of applications. The key features include: a unique survey of many applications of fractional calculus; presents basic theory; includes a unified presentation of selected classical results, which are important for applications; provides many examples; contains a separate chapter of fractional order control systems, which opens new perspectives in control theory; the first systematic consideration of Caputo s fractional derivative in comparison with other selected approaches; and, includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives. Bookseller Inventory # APC9780125588409

£ 121.64
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 7.Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications (Hardback)

ISBN 10: 0125588402 ISBN 13: 9780125588409
New Hardcover Quantity Available: 10
Print on Demand
Seller
The Book Depository US
(London, United Kingdom)
Rating

Book Description Elsevier Science Publishing Co Inc, United States, 1998. Hardback. Book Condition: New. 231 x 160 mm. Language: English . Brand New Book ***** Print on Demand *****. This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. 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 mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. 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 of applications. The key features include: a unique survey of many applications of fractional calculus; presents basic theory; includes a unified presentation of selected classical results, which are important for applications; provides many examples; contains a separate chapter of fractional order control systems, which opens new perspectives in control theory; the first systematic consideration of Caputo s fractional derivative in comparison with other selected approaches; and, includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives. Bookseller Inventory # APC9780125588409

£ 125.84
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 8.Fractional Differential Equations

ISBN 10: 0125588402 ISBN 13: 9780125588409
New Hardcover Quantity Available: > 20
Seller
Blackwell's
(Oxford, OX, United Kingdom)
Rating

Book Description Elsevier Science Publishing Co Inc 1998-10-27, San Diego, 1998. hardback. Book Condition: New. Bookseller Inventory # 9780125588409

£ 124.43
Convert Currency
Shipping: £ 4.50
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 9.Fractional Differential Equations, Volume 198: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their ... (Mathematics in Science and Engineering)

ISBN 10: 0125588402 ISBN 13: 9780125588409
New Hardcover Quantity Available: 1
Seller
Book Deals
(Lewiston, NY, U.S.A.)
Rating

Book Description Academic Press, 1998. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Preface. Acknowledgments. Special Functions of Preface. Acknowledgements. Special Functions of the Fractional Calculus . Gamma Function. Mittag-Leffler Function. Wright Function. Fractional Derivatives and Integrals . The Name of the Game. Grnwald-Letnikov Fractional Derivatives. Riemann-Liouville Fractional Derivatives. Some Other Approaches. Sequential Fractional Derivatives. Left and Right Fractional Derivatives. Properties of Fractional Derivatives. Laplace Transforms of Fractional Derivatives. Fourier Transforms of Fractional Derivatives. Mellin Transforms of Fractional Derivatives. Existence and Uniqueness Theorems . Linear Fractional Differential Equations. Fractional Differential Equation of a General Form. Existence and Uniqueness Theorem as a Method of Solution. Dependence of a Solution on Initial Conditions. The Laplace Transform Method . Standard Fractional Differential Equations. Sequential Fractional Differential Equations. Fractional Green's Function . Definition and Some Properties. One-Term Equation. Two-Term Equation. Three-Term Equation. Four-Term Equation. Calculation of Heat Load Intensity Change in Blast Furnace Walls. Finite-Part Integrals and Fractional Derivatives. General Case: n -term Equation. Other Methods for the Solution of Fractional-order Equations . The Mellin Transform Method. Power Series Method. Babenko's Symbolic Calculus Method. Method of Orthogonal Polynomials. Numerical Evaluation of Fractional Derivatives . Approximation of Fractional Derivatives. The "Short-Memory" Principle. Order of Approximation. Computation of Coefficients. Higher-order Approximations. Numerical Solution of Fractional Differential Equations . Initial Conditions: Which Problem to Solve? Numerical Solution. Examples of Numerical Solutions. The "Short-Memory" Principle in Initial Value Problems for Fractional Differential Equations. Fractional-Order Systems and Controllers. Fractional-Order Systems and Fractional-Order Controllers . Example. on Viscoelasticity. Bode's Analysis of Feedback Amplifiers. Fractional Capacitor Theory. Electrical Circuits. Electroanalytical Chemistry. Electrode-Electrolyte Interface. Fractional Multipoles. Biology. Fractional Diffusion Equations. Control Theory. Fitting of Experimental Data. The "Fractional-Order" Physics? Bibliography. Tables of Fractional Derivatives . Index . Bookseller Inventory # ABE_book_new_0125588402

£ 129.31
Convert Currency
Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

## 10.Fractional Differential Equations, Volume 198: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their ... (Mathematics in Science and Engineering)

ISBN 10: 0125588402 ISBN 13: 9780125588409
New Hardcover Quantity Available: 1
Seller
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating

Book Description Academic Press, 1998. Hardcover. Book Condition: New. book. Bookseller Inventory # 0125588402