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About this book :-
An Introduction to the Fractional Calculus and Fractional Differential Equations written by Kenneth Miller.
This text is historical survery of modern approach Riemann-Liouville Fractional Calculus, Fractional Differential Eqations and Fractional Calculus. Numerous examples and theoretical applications of the theory are presented.
Features topics associated with fractional differential equations. Discusses Weyl fractional calculus and some of its uses and also includes selected physical problems which lead to fractional differential or integral equations.
Book Detail :-
Title: An Introduction to the Fractional Calculus and Fractional Differential Equations
Author(s): Kenneth S. Miller
Publisher: John Wiley & Sons
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About Author :-
Kenneth Miller, Mathematical Consultant, Formerly Professor of Mathematics, New Yark Univiersity and
Bertram Ross , University of New Haven. Briefly trace the historical developement of the fractional calculus from Euler to the present also discrible the numerious heuristic and mathematical arguments that lead to the present definition of fractional integrals and fractional derivatives. The developement of mathematical theory of the fractinal calculus and discussion of Waley fractional differential equations and its use.
Book Contents :-
An Introduction to the Fractional Calculus and Fractional Differential Equations written by Kenneth Miller cover the following topics.
1. Historical Survey
2. The Modern Approach
3. The Riemann-Liouville Fractional Integral
4. The Riemann-Liouville Fractional Calculus
5. Fractional Differential Equations
6. Further Results Associated with Fractional Differential Equations
7. The Weyl Fractional Calculus
8. Some Historical Arguments
A. Some Algebraic Results
B. Higher Transcendental Functions
C. The Incomplete Gramma Function and Related Functions
D. A Brief Table of Fractional Integrals and Derivatives
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