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What is Mittag-Leffler Functions Overview about?
This chapter discusses Mittag-Leffler functions and fractional calculus. It defines the Mittag-Leffler function Eα(x) and the generalized Mittag-Leffler function Eα,β(x). Some important properties are described, including their Laplace transforms and asymptotic expansions. These properties make Mittag-Leffler functions useful for solving fractional differential equations. Examples show various Mittag-Leffler functions reducing to standard functions like the exponential. Revision exercises provide opportunit
- Author
- Laid Merabti
- Language
- EN