Mikusinski's Operational Calculus for Fractional Operators with Different Kernels

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dc.contributor.authorFernandez, Arran
dc.contributor.authorRani, Noosheza
dc.date.accessioned2026-02-06T18:16:40Z
dc.date.issued2024
dc.departmentDoğu Akdeniz Üniversitesi
dc.description12th IFAC Conference on Fractional Differentiation and its Application (ICFDA) -- JUL 09-12, 2024 -- Bordeaux, FRANCE
dc.description.abstractMikusinski's operational calculus provides a way of applying the machinery of abstract algebra to the spaces and operators of calculus, thus allowing integro-differential equations to be solved by reducing them to algebraic equations. We summarise the application of this method to several operators of fractional calculus, defined by various convolution kernel functions at different levels of generality, and how the corresponding fractional differential equations can be solved. Copyright (C) 2024 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)
dc.description.sponsorshipInt Federat Automat Control,Linear Control Systems, TC 2.2,TC 1.1. Modelling, Identification and Signal Processing,TC 2.1. Control Design,TC 2.5. Robust Control,TC 4.2. Mechatronic Systems,IMS laboratory Crone team,Univ Bordeaux/Bordeaux INP/CNRS,ICFDA (Fractional Differentiation & its Applications),SAGIP (National Soc Automatic control, Industrial Engn & Production Engineering),GDR MACS (National Res Group Automatic Control & Production Engineering),Bordeaux INP,EnseirbMatmeca (engn school Bordeaux Inst Tech),IMS res laboratory,ROBSYS (Robustness Autonomous Systems, Res Network Univ Bordeaux),Nouvelle Aquitaine Regional Council
dc.identifier.doi10.1016/j.ifacol.2024.08.193
dc.identifier.endpage225
dc.identifier.issn2405-8963
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85203071056
dc.identifier.scopusqualityQ3
dc.identifier.startpage220
dc.identifier.urihttps://doi.org/10.1016/j.ifacol.2024.08.193
dc.identifier.urihttps://hdl.handle.net/11129/8601
dc.identifier.volume58
dc.identifier.wosWOS:001302134200037
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofIfac Papersonline
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectfractional calculus
dc.subjectoperational calculus
dc.subjectfractional differential equations
dc.subjectconvolution kernels
dc.titleMikusinski's Operational Calculus for Fractional Operators with Different Kernels
dc.typeConference Object

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