Transformation Mittag-Lefler function to an exponential function and its some applications to problems with a fractional derivative

2018/04/09 by Fikret A. Aliev, N. A. Aliev, Aliev, Fikret A. +5
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1804.02928

in Russian

arxiv created 2018/04/09 · arxiv updated 2018/04/10

Abstract

In this work at first the relation the Mittag-Lefler function to the exponential is given. The results are applied to the construction of the solution of Cauchy problem for ordinary linear operator differential equations with constant coefficients and fractional derivatives. On the example is shown that when the order of the derivatives (fractional) approaches to integers the results coincide with the classical.

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