Quantum Fourier transform (QFT) is an important part of many quantum algorithms. However, there are few reports on fractional (QFRFT). The main reason that the definitions (FRFT) diverse, while some do not include unitarity, which leads to studies pointing out no QFRFT. In this paper, we first present a reformulation weighted (WFRFT) and prove its thereby proposing (QWFRFT). proposal QWFRFT pro...

The aim of this article is by using the fractional complex transform FCT and the optimal homotopy analysis transform method OHATM to find the analytical approximate solutions for nonlinear fractional differential-difference equations FNDDEs arising in physical phenomena such as wave phenomena in fluids, coupled nonlinear optical waveguides and nanotechnology fields. Fractional complex transform...

In this work, we proposed an effective method based on cubic and pantic B-spline scaling functions to solve partial differential equations of fractional order. Our method is based on dual functions of B-spline scaling functions. We derived the operational matrix of fractional integration of cubic and pantic B-spline scaling functions and used them to transform the mentioned equations to a syste...

It was shown [ 21 that any SFF can be decomposed in this manner. Thus, F(x) is an SFF if, and only if, it can be expressed as the sum of four functions in the form of the above equation. Additional SFF studies are reported in refs. [ 3-51. Another issue that has been recently investigated is the fractional Fourier transform [ 6-91. Two distinct definitions of the fractional Fourier transform ha...

The present paper deals with the wavelet transform of fractional integral operator (the RiemannLiouville operators) on Boehmian spaces. By virtue of the existing relation between the wavelet transform and the Fourier transform, we obtained integrable Boehmians defined on the Boehmian space for the wavelet transform of fractional integrals.

In this paper we present an extension of Fractional Laplace Transform in the framework non-conformable local fractional derivative. Its main properties are studied and it is applied to resolution differential equations.