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One dimensional fractional frequency Fourier transform by inverse difference operator

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Alqurashi, Maysaa
dc.contributor.author Murugesan, Meganathan
dc.contributor.author Gnanaprakasam, Britto Antony Xavier
dc.date.accessioned 2019-12-27T12:17:04Z
dc.date.available 2019-12-27T12:17:04Z
dc.date.issued 2019-05-29
dc.identifier.citation Baleanu, Dumitru...et al. (2019). "One dimensional fractional frequency Fourier transform by inverse difference operator", Advances in Difference Equations. tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/2323
dc.description.abstract This 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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer Open tr_TR
dc.relation.isversionof 10.1186/s13662-019-2071-y tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Fourier Transform tr_TR
dc.subject Polynomial Factorials tr_TR
dc.subject Exponential Function tr_TR
dc.subject Convolution Product tr_TR
dc.subject Inverse Difference Operator and Trigonometric Function tr_TR
dc.title One dimensional fractional frequency Fourier transform by inverse difference operator tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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