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About this book :-
Fractional Calculus Definitions and Applications written by
Joseph Kimeu.
The first chapter gives a brief history and definition of fractional calculus. The second and third chapters, respectively, look at the Riemann-Liouville definitions of the fractional integral and derivative. The fourth chapter looks at some fractional differential equations with an emphasis on the Laplace transform of the fractional integral and derivative. The last chapter considers two application problems—a mortgage problem and a decay-growth problem.
Book Detail :-
Title: Fractional Calculus Definitions and Applications
Edition:
Author(s): Joseph M. Kimeu
Publisher:
Series:
Year: 2009
Pages: 61
Type: PDF
Language: English
ISBN:
Country: US
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Book Contents :-
Fractional Calculus Definitions and Applications written by
Joseph Kimeu
cover the following topics.
1: INTRODUCTION
The Origin of Fractional Calculus, Definition of Fractional Calculus, Useful Mathematical Functions
2: THE RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL
Definition of the Riemann-Liouville Fractional Integral, Examples of Fractional Integrals, Dirichlet’s Formula, The Law of Exponents for Fractional Integrals, Derivatives of the Fractional Integral and the Fractional Integral of Derivatives
3: THE RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE
Definition of the Riemann-Liouville Fractional Derivative, Examples of Fractional Derivatives
4: FRACTIONAL DIFFERENTIAL EQUATIONS
The Laplace Transform, Laplace Transform of the Fractional Integral, Laplace Transform of the Fractional Derivative, Examples of Fractional Differential Equations
5: APPLICATIONS AND THE PUTZER ALGORITHM
A Mortgage Problem, A Decay-Growth Problem, The Matrix Exponential Function, The Matrix Mittag-Leffler Function
CONCLUSION AND FUTURE SCOPE
APPENDIX
BIBLIOGRAPHY
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