In this video, we introduce the single-parameter and two-parameter families of Mittag-Leffler functions, and how they are able to represent the fractional derivative of exponential and trigonometric functions. We also discuss derivatives, integrals, and relations to other elementary functions for which Mittag-Leffler functions, in addition to deriving important Laplace-transform and recurrence identities for these families of functions.
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(FC03) Mittag-Leffler Functions
Теги
fractional calculusfractional derivativesfractional integralsfractiona derivative of constantcaputo derivativecaputo derivative examplesmittag leffler functionslaplace transform of mittag lefflermittag leffler function examplesrecurrence relation of mittag lefflerlaplace transformfractional differential equationsriemann liouville fractional integral
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