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Theory and applications of fractional differential equations /

This monograph provides the most recent and up-to-date developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus. The subject of fractional calculus and its applications (that is, calculus of int...

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Bibliographic Details
Main Authors: Kilbas, A. A. Anatolii Aleksandrovich
Corporate Authors: Elsevier Science & Technology
Group Author: Srivastava, H. M; Trujillo, Juan J
Published: Elsevier,
Publisher Address: Amsterdam :
Publication Dates: 2006.
Literature type: eBook
Language: English
Edition: First edition.
Series: North-Holland mathematics studies ; 204
Subjects:
Fractional calculus
Differential equations
MATHEMATICS > Calculus
MATHEMATICS > Mathematical Analysis
Electronic books
Online Access: http://www.sciencedirect.com/science/bookseries/03040208/204
Summary: This monograph provides the most recent and up-to-date developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus. The subject of fractional calculus and its applications (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. Some of the areas of pre
Carrier Form: 1 online resource (xv, 523 pages) : illustrations.
Bibliography: Includes bibliographical references (pages 469-520) and index.
ISBN: 9780444518323
0444518320
0080462073
9780080462073
Index Number: QA314
CLC: O175
Contents: 1. Preliminaries. -- 2. Fractional Integrals and Fractional Derivatives. -- 3. Ordinary Fractional Differential Equations. Existence and Uniqueness Theorems. -- 4. Methods for Explicitly solving Fractional Differential Equations. -- 5. Integral Transform Methods for Explicit Solutions to Fractional Differential Equations. -- 6. Partial Fractional Differential Equations. -- 7. Sequential Linear Differential Equations of Fractional Order. -- 8. Further Applications of Fractional Models. -- Bibliography -- Subject Index.

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