LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS AND MITTAG-LEFFLER KERNELS

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dc.contributor.authorFernandez, Arran
dc.contributor.authorRestrepo, Joel E.
dc.contributor.authorSuragan, Durvudkhan
dc.date.accessioned2022-02-09T06:59:43Z
dc.date.available2022-02-09T06:59:43Z
dc.date.issued2021-10-27
dc.description.abstractFractional differential equations with constant coefficients can be readily handled by a number of methods, but those with variable coefficients are much more challenging. Recently, a method has appeared in the literature for solving fractional differential equations with variable coefficients, the solution being in the form of an infinite series of iterated fractional integrals. In the current work, we consider fractional differential equations with Atangana–Baleanu integro- differential operators and continuous variable coefficients, and establish analytical solutions for such equations. The representation of the solution is given by a uniformly convergent infinite series involving Atangana–Baleanu operators. To the best of our knowledge, this is the first time that explicit analytical solutions have been given for such general Atangana–Baleanu differential equa- tions with variable coefficients. The corresponding results for fractional differential equations with constant coefficients are also givenen_US
dc.identifier.citationFernandez, A., Restrepo, J. E., & Suragan, D. (2022). Linear differential equations with variable coefficients and Mittag-Leffler kernels. Alexandria Engineering Journal, 61(6), 4757–4763. https://doi.org/10.1016/j.aej.2021.10.028en_US
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/6035
dc.language.isoenen_US
dc.publisherAlexandria Engineering Journalen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectType of access: Open Accessen_US
dc.subjectFractional differential equationsen_US
dc.subjectAtangana–Baleanu fractional calculusen_US
dc.subjectDifferential equations with variable coefficientsen_US
dc.subjectSeries solutionsen_US
dc.subjectAnalytical solutionsen_US
dc.titleLINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS AND MITTAG-LEFFLER KERNELSen_US
dc.typeArticleen_US
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