The fractional calculus : theory and applications of differentiation and integration to arbitrary order /
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang...
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| Format: | eBook |
| Language: | English |
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New York :
Academic Press,
1974.
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| Series: | Mathematics in science and engineering ;
v. 111. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Introduction
- Differentiation and integration to the integer order
- Fractional derivatives and integrals : definitions and equivalences
- Differentigration of simple functions
- General properties
- Differintegration of more complex functions
- Semiderivatives and semiintegral
- Techniques in the fractional calculus
- Representation of transcendental functions
- Applications in the classical calculus
- Applications to diffusion problems.