QA673 : Geometric analysis of perturbed fractional differential equations via Lie groups view points
Thesis > Central Library of Shahrood University > Mathematical Sciences > PhD > 2024
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Abstarct: Abstract
The aim of this research is to study and investigate fractional differential equations
with point of view of Lie groups. Using symmetries to solve equations is one of the
best methods that has been given a lot of attention in recent years. To begin with,
several definitions are given to explain how to calculate Lie symmetries for partial
differential equations, and then the method of reduction and solution of aforementioned
is presented. In the following, with the help of definitions and jurisprudence,
this issue is given for approximate and fractional differential equations, and finally,
fractional equations with different combinations are discussed. Also, the important
concepts of conservation laws of differential equations for all types of equations have
been explored in order to discuss and investigate the basic laws and their calculation
methods for fractional-approximate differential equations.
Keywords:
#Lie symmetries #Approximate differential equations #Conservation laws #Fractional differential equations #Perturbation parameter Keeping place: Central Library of Shahrood University
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