An introduction to fractional mechanics - Jacek S. Leszczyński
wyd. Częstochowa 2011, stron 128, bibliografia, twarda oprawa, format ok. 24,5 cm x 17,5 cm
Nakład tylko 300 egz. !
Uwaga: monografia wydana w jęz. angielskim !
wyd. Częstochowa 2011, stron 128, bibliografia, twarda oprawa, format ok. 24,5 cm x 17,5 cm
Nakład tylko 300 egz. !
Uwaga: monografia wydana w jęz. angielskim !
[SPIS TREŚCI]
CCONTENTS
Preface
Nomenclature
1. Introduction
2. Special functions and their properties
3. Fractional operators
3.1. Basic definitions
3.2. Fundamental properties
3.3. Fractional Taylor series
3.4. Numerical representations
3.4.1. Discrete forms of fractional integrals
3.4.2. Discrete forms of Riemann-Liouville fractional derivatives
3.4.3. Discrete forms of Caputo fractional derivatives
4. Integral transforms and fractional differential equations
4.1. Integral transforms
4.2. Ordinary differential equations with a mixture of integer and fractional derivatives
4.2.1. Homogeneous differential equations
4.2.2. Inhomogeneous differential equations
4.3. Partial differential equations with a mixture of integer and fractional derivatives
5. Theories for modelling complex processes and phenomena
5.1. Control theory and its applications
5.2. Properties of complex materials, biomechanics and anomalous diffusion
5.3. Fractional variational principle and fractional Euler-Lagrange equations
5.4. Conservation of mass, momentum and thermal energy for complex systems
5.4.1. Continuity equations
5.4.2. Momentum equations
5.4.3. Thermal energy equations
References
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