Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations

DOI10.22034/CMDE.2019.9526zbMath1463.34009OpenAlexW2990143508MaRDI QIDQ5211871

Naila I. Velieva, N. A. Safarova, N. A. Aliyev, Fikret A. Aliev

Publication date: 28 January 2020

Full work available at URL: https://cmde.tabrizu.ac.ir/article_9526_34e7ba013b67fb9e9218892109264c08.pdf

zbMATH Keywords

Mittag-Leffler functionCauchy problemconstant matrix coefficientslinear fractional derivative system

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Mittag-Leffler functions and generalizations (33E12) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08)

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