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New discretization of Caputo-Fabrizio derivative

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cris.virtual.department#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.departmenta211800f-28ac-4e09-b81d-406347bcc58c
cris.virtualsource.orcida211800f-28ac-4e09-b81d-406347bcc58c
dc.contributor.affiliationTurk Hava Kurumu University; Turkish Aeronautical Association; Cankaya University; Institute of Space Science
dc.contributor.authorAkman, Tugba; Yildiz, Burak; Baleanu, Dumitru
dc.date.accessioned2024-06-25T11:45:05Z
dc.date.available2024-06-25T11:45:05Z
dc.date.issued2018
dc.description.abstractWe derive a numerical approximation, namely L1-2 formula, to the Caputo-Fabrizio derivative by using a quadratic interpolation. Quadratic and cubic convergence rates are achieved for L1 and L1-2 formulas using Lagrange interpolation, respectively. We compute Caputo-Fabrizio derivatives of some known functions both theoretically and numerically. In addition, we solve non/linear sub-diffusion equations to test theoretical findings. Numerical results confirm the theoretically observed convergence rates.
dc.description.doi10.1007/s40314-017-0514-1
dc.description.endpage3333
dc.description.issue3
dc.description.pages27
dc.description.researchareasMathematics
dc.description.startpage3307
dc.description.urihttp://dx.doi.org/10.1007/s40314-017-0514-1
dc.description.volume37
dc.description.woscategoryMathematics, Applied
dc.identifier.issn0101-8205
dc.identifier.urihttps://acikarsiv.thk.edu.tr/handle/123456789/1225
dc.language.isoEnglish
dc.publisherSPRINGER HEIDELBERG
dc.relation.journalCOMPUTATIONAL & APPLIED MATHEMATICS
dc.subjectCaputo-Fabrizio derivative; Fractional differentiation; L1 formula; L1-2 formula; Quadratic interpolation
dc.subjectSINGULAR KERNEL; DIFFUSION; EQUATION; MODEL
dc.titleNew discretization of Caputo-Fabrizio derivative
dc.typeArticle
dspace.entity.typePublication

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