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Generalized fractional order differential equations arising in physical models /

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This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations...

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Bibliographic Details
Main Authors: Saha Ray, Santanu (Author), Sahoo, Subhadarshan (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2019]
Subjects:
Fractional calculus.
Differential equations, Partial.
Dérivées fractionnaires.
Équations aux dérivées partielles.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential equations, Partial
Fractional calculus
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction and preliminaries of fractional calculus
  • Overview of numerous analytical methods
  • New analytical approximate solutions of fractional differential equations
  • New analytical approximate solutions of Riesz fractional differential equations
  • New exact solutions of fractional differential equations by fractional sub-equation and improved fractional sub-equation method
  • New exact solutions of fractional differential equations by (G'/G')-expansion method and improved (G'/G)-expansion method
  • New exact solutions of fractional differential equations by proposed Tanh and modified Kudryashov methods
  • New exact solutions of fractional differential equations by proposed novel method
  • New exact solutions of fractional coupled differential equations by Jacobi elliptic function method
  • Formulation and solutions of fractional continuously variable-order mass-spring damper systems.