SOLVING COUPLED PAIRS OF FRACTIONAL DIFFERENTIAL EQUATIONS BY MIKUSINSKI'S OPERATIONAL CALCULUS

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dc.contributor.authorFernandez, Arran
dc.date.accessioned2026-02-06T18:21:36Z
dc.date.issued2025
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractMikusi & nacute;ski's operational calculus is an algebraic method for interpreting integro-differential operators and solving the corresponding equations. It has been a powerful method in fractional calculus, providing solutions for multi-term linear differential equations involving various fractional-order operators. Here, it is applied to general linear systems of two fractional differential equations involving Riemann-Liouville or Caputo derivatives of real or complex orders, and the solutions are found in terms of trivariate Mittag-Leffler functions.
dc.identifier.doi10.3934/eect.2025042
dc.identifier.endpage1533
dc.identifier.issn2163-2480
dc.identifier.issue6
dc.identifier.scopus2-s2.0-105011599797
dc.identifier.scopusqualityQ2
dc.identifier.startpage1517
dc.identifier.urihttps://doi.org/10.3934/eect.2025042
dc.identifier.urihttps://hdl.handle.net/11129/9377
dc.identifier.volume14
dc.identifier.wosWOS:001505346100001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofEvolution Equations and Control Theory
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectMikusi & nacute;ski's operational calculus
dc.subjectfractional calculus
dc.subjectfractional differential equations
dc.subjectsystems of ordinary differential equations
dc.subjecttrivariate Mittag-Leffler functions
dc.titleSOLVING COUPLED PAIRS OF FRACTIONAL DIFFERENTIAL EQUATIONS BY MIKUSINSKI'S OPERATIONAL CALCULUS
dc.typeArticle

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