Explicit analytical solutions of incommensurate fractional differential equation systems

Ismail T. Huseynov, Arzu Ahmadova, Arran Fernandez and Nazim I. Mahmudov

Applied Mathematics and Computation, 2021, vol. 390, issue C

Abstract: Fractional differential equations have been studied due to their applications in modelling, and solved using various mathematical methods. Systems of fractional differential equations are also used, for example in the study of electric circuits, but they are more difficult to analyse mathematically. We present explicit solutions for several families of such systems, both homogeneous and inhomogeneous cases, both commensurate and incommensurate. The results can be written, in several interesting special cases, in terms of a recently defined bivariate Mittag-Leffler function and the associated operators of fractional calculus.

Keywords: Caputo fractional derivative; Fractional differential equation systems; Bivariate Mittag-Leffler functions; Incommensurate system (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:390:y:2021:i:c:s0096300320305452

DOI: 10.1016/j.amc.2020.125590

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