Mir Sajjad Hashemi, Dumitru Baleanu
Chapman and Hall/CRC
June 11, 2020 Forthcoming
Reference - 216 Pages
ISBN 9780367441869 - CAT# 345059
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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.
Chapter 1: Lie symmetry analysis of integer order differential equations.
Chapter 2: Group analysis and exact solutions of fractional partial differential.
Chapter 3: Analytical lie group approach for solving the fractional integro-differential equations.
Chapter 4: Nonclassical Lie symmetry analysis to fractional differential equations.
Chapter 5: Conservation laws of the fractional differential equations.