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Derivative with a New Parameter - Theory, Methods and Applications (Paperback)
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Derivative with a New Parameter - Theory, Methods and Applications (Paperback)
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Derivative with a New Parameter: Theory, Methods and Applications
discusses the first application of the local derivative that was
done by Newton for general physics, and later for other areas of
the sciences. The book starts off by giving a history of
derivatives, from Newton to Caputo. It then goes on to introduce
the new parameters for the local derivative, including its
definition and properties. Additional topics define beta-Laplace
transforms, beta-Sumudu transforms, and beta-Fourier transforms,
including their properties, and then go on to describe the method
for partial differential with the beta derivatives. Subsequent
sections give examples on how local derivatives with a new
parameter can be used to model different applications, such as
groundwater flow and different diseases. The book gives an
introduction to the newly-established local derivative with new
parameters, along with their integral transforms and applications,
also including great examples on how it can be used in epidemiology
and groundwater studies.
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