The Fading Memory Formalism with Mittag-Leffler-Type Kernels as A Generator of Non-Local Operators

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creativework.keywordsfading memory formalism, fractional derivatives, heat conduction, memory kernels, Mittag-Leffler functions
creativework.publisherMDPIen
dc.contributor.authorHristov J.
dc.date.accessioned2024-07-10T14:27:05Z
dc.date.accessioned2024-07-10T14:50:36Z
dc.date.available2024-07-10T14:27:05Z
dc.date.available2024-07-10T14:50:36Z
dc.date.issued2023-03-01
dc.description.abstractTransient heat conduction problems are systematically applied to the fading memory formalism with different Mittag-Leffler-type memory kernels. With such an approach, using various memories naturally results in definitions of various fractional operators. Six examples are given and interpreted from a common perspective, covering the most well-liked versions of the Mittag-Leffler function. The fading memory approach was used as a template and demonstrated that, if the constitutive equations are correctly built, it is also possible to directly determine where the hereditary terms are located in the models.
dc.identifier.doi10.3390/app13053065
dc.identifier.issn2076-3417
dc.identifier.scopusSCOPUS_ID:85149994060en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/808
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85149994060&origin=inward
dc.titleThe Fading Memory Formalism with Mittag-Leffler-Type Kernels as A Generator of Non-Local Operators
dc.typeArticle
oaire.citation.issue5
oaire.citation.volume13
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