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Fractal calculus is the simple, constructive, and algorithmic
approach to natural processes modeling, which is impossible using
smooth differentiable structures and the usual modeling tools such
as differential equations. It is the calculus of the future and
will have many applications.This book is the first to introduce
fractal calculus and provides a basis for the research and
development of this framework. It is suitable for undergraduate and
graduate students in mathematics and physics who have mastered
general mathematics, quantum physics, and statistical mechanics, as
well as researchers dealing with fractal structures in various
disciplines.
Fractional calculus is the calculus of the future, With it, we can
solve problems we couldn't have solved before. It is shown that
geometric interpretation of fractional integration is "shadows on
the walls" and its physical interpretation is "shadows of the
past."It may be important to point out that the first application
of fractional calculus was made by Abel(1802-1829) in the solution
of an integral equation that arises in the formulation of the
tautochronous problem.
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