Lie symmetry analysis of fractional differential equations
著者
書誌事項
Lie symmetry analysis of fractional differential equations
CRC Press, 2020
1st ed
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注記
Includes bibliographical references (p. 187-202) and index
内容説明・目次
内容説明
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
目次
1. Lie symmetry analysis of integer order differential equations. 2. Group analysis and exact solutions of fractional partial differential. 3. Analytical lie group approach for solving the fractional integro-differential equations. 4. Nonclassical Lie symmetry analysis to fractional differential equations. 5. Conservation laws of the fractional differential equations.
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