Screen LibraryFractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications /
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 ins...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Academic Press,
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| Publisher Address: | San Diego : |
| Publication Dates: | 1999. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Mathematics in science and engineering ;
v. 198 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/00765392/198 |
| Summary: |
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 |
| Carrier Form: | 1 online resource (xxiv, 340 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 313-335) and index. |
| ISBN: |
9780080531984 0080531989 0125588402 9780125588409 |
| Index Number: | QA372 |
| CLC: | O175 |
| Contents: | 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. Gru nwald-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. Exi |