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One dimensional fractional frequency Fourier transform by inverse difference operator

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAlqurashi, Maysaa
dc.contributor.authorMurugesan, Meganathan
dc.contributor.authorGnanaprakasam, Britto Antony Xavier
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-27T12:17:04Z
dc.date.available2019-12-27T12:17:04Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractThis article aims to develop fractional order convolution theory to bring forth innovative methods for generating fractional Fourier transforms by having recourse to solutions for fractional difference equations. It is evident that fractional difference operators are used to formulate for finding the solutions of problems of distinct physical phenomena. While executing the fractional Fourier transforms, a new technique describing the mechanism of interaction between fractional difference equations and fractional differential equations will be introduced as h tends to zero. Moreover, by employing the theory of discrete fractional Fourier transform of fractional calculus, the modeling techniques will be improved, which would help to construct advanced equipments based on fractional transforms technology using fractional Fourier decomposition method. Numerical examples with graphs are verified and generated by MATLAB.en_US
dc.description.publishedMonth5
dc.identifier.citationBaleanu, Dumitru...et al. (2019). "One dimensional fractional frequency Fourier transform by inverse difference operator", Advances in Difference Equations.en_US
dc.identifier.doi10.1186/s13662-019-2071-y
dc.identifier.issn1687-1847
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2323
dc.language.isoenen_US
dc.publisherSpringer Openen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Fourier Transformen_US
dc.subjectPolynomial Factorialsen_US
dc.subjectExponential Functionen_US
dc.subjectConvolution Producten_US
dc.subjectInverse Difference Operator and Trigonometric Functionen_US
dc.titleOne dimensional fractional frequency Fourier transform by inverse difference operatortr_TR
dc.titleOne Dimensional Fractional Frequency Fourier Transform by Inverse Difference Operatoren_US
dc.typeArticleen_US
dspace.entity.typePublication

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