Lie Symmetry Analysis of Fractional Differential Equations

1st Edition

Mir Sajjad Hashemi, Dumitru Baleanu

Chapman and Hall/CRC
June 11, 2020 Forthcoming
Reference - 216 Pages
ISBN 9780367441869 - CAT# 345059

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Summary

The trajectory of fractional calculus has undergone several periods of intensive development, both in pure and applied sciences. During the last few decades fractional calculus has also been associated with the power law effects and its various applications.

It is a natural to ask if fractional calculus, as a nonlocal calculus, can produce new results within the well-established field of Lie symmetries and their applications.

In Lie Symmetry Analysis of Fractional Differential Equations the authors try to answer this vital question by analyzing different aspects of fractional Lie symmetries and related conservation laws. Finding the exact solutions of a given fractional partial differential equation is not an easy task, but is one that the authors seek to grapple with here. The book also includes generalization of Lie symmetries for fractional integro differential equations.

Features

  • Provides a solid basis for understanding fractional calculus, before going on to explore in detail Lie Symmetries and their applications
  • Useful for PhD and postdoc graduates, as well as for all mathematicians and applied researchers who use the powerful concept of Lie symmetries
  • Filled with various examples to aid understanding of the topics

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