One dimensional fractional frequency Fourier transform by inverse difference operator
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Alqurashi, Maysaa | |
dc.contributor.author | Murugesan, Meganathan | |
dc.contributor.author | Gnanaprakasam, Britto Antony Xavier | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2019-12-27T12:17:04Z | |
dc.date.available | 2019-12-27T12:17:04Z | |
dc.date.issued | 2019 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü | en_US |
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. | en_US |
dc.description.publishedMonth | 5 | |
dc.identifier.citation | Baleanu, Dumitru...et al. (2019). "One dimensional fractional frequency Fourier transform by inverse difference operator", Advances in Difference Equations. | en_US |
dc.identifier.doi | 10.1186/s13662-019-2071-y | |
dc.identifier.issn | 1687-1847 | |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/2323 | |
dc.language.iso | en | en_US |
dc.publisher | Springer Open | en_US |
dc.relation.ispartof | Advances in Difference Equations | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Fractional Fourier Transform | en_US |
dc.subject | Polynomial Factorials | en_US |
dc.subject | Exponential Function | en_US |
dc.subject | Convolution Product | en_US |
dc.subject | Inverse Difference Operator and Trigonometric Function | en_US |
dc.title | One dimensional fractional frequency Fourier transform by inverse difference operator | tr_TR |
dc.title | One Dimensional Fractional Frequency Fourier Transform by Inverse Difference Operator | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |