Theory and Applications of Fractional Differential Equations [1 ed.] 9780080462073, 9780444518323, 0444518320

This monograph provides the most recent and up-to-date developments on fractional differential and fractional integro-di

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Table of contents :
Content:
Preface
Pages vii-x
Anatoly A. Kilbas, Hari M. Srivastava, Juan J. Trujillo

Chapter 1 Preliminaries Original Research Article
Pages 1-68

Chapter 2 Fractional integrals and fractional derivatives Original Research Article
Pages 69-133

Chapter 3 Ordinary fractional differential equations. Existence and uniqueness theorems Original Research Article
Pages 135-219

Chapter 4 Methods for explicitly solving fractional differential equations Original Research Article
Pages 221-277

Chapter 5 Integral transform method for explicit solutions to fractional differential equations Original Research Article
Pages 279-346

Chapter 6 Partial fractional differential equations Original Research Article
Pages 347-391

Chapter 7 Sequential linear differential equations of fractional order Original Research Article
Pages 393-447

Chapter 8 Further applications of fractional models Original Research Article
Pages 449-468

Bibliography
Pages 469-520

Subject index
Pages 521-523

Theory and Applications of Fractional Differential Equations [1 ed.] 9780080462073, 9780444518323, 0444518320

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