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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
** Get this book from Amazon**

**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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**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
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- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?