Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications / by Igor Podlubny
Imprint
San Diego : Academic Press, 1999
Descript
xxiv, 340 p. : ill. ; 24 cm
CONTENT
1. Special Functions of the Fractional Calculus -- 2. Fractional Derivatives and Integrals -- 3. Existence and Uniqueness Theorems -- 4. The Laplace Transform Method -- 5. Fractional Green's Function -- 6. Other Methods for the Solution of Fractional-order Equations -- 7. Numerical Evaluation of Fractional Derivatives -- 8. Numerical Solution of Fractional Differential Equations -- 9. Fractional-order Systems and Controllers -- 10. Survey of Applications of the Fractional Calculus -- App Tables of Fractional Derivatives