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Theory and applications of fractional differential equations /

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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 Author: Kilbas, A. A. (Anatoliĭ Aleksandrovich)
Corporate Author: ScienceDirect (Online service)
Other Authors: Srivastava, H. M., Trujillo, Juan J.
Format: eBook
Language:English
Published: Amsterdam ; Boston : Elsevier, 2006.
Edition:1st ed.
Series:North-Holland mathematics studies ; 204.
Subjects:
Fractional calculus.
Differential equations.
Dérivées fractionnaires.
Équations différentielles.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential equations
Fractional calculus
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of 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.