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20182023
most citedFourier Series in Fractional Dimensional Space

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

physics.gen-ph2023

The Role of Fractional Dimension in Study Physics: A Two-Channel Representation with Geometric Memory

Ali Dorostkar

In this study, we explore the field of physics through the lens of fractional dimensionality. We propose that space is not confined to integer dimensions alone, but can also be und…

physics.optics2022

A Theoretical Framework for Electromechanically Reinforced Brillouin Scattering in Integrated Photonic Waveguides

Ali Dorostkar, Sayyed Reza Mirnaziry

Current theoretical demonstration of the Stimulated Brillouin scattering (SBS) in waveguides composed of centrosymmetric materials does not capture physics of the phenomenon in wav…

math.GM2022★ 1 cited

Fourier Series in Fractional Dimensional Space

Ali Dorostkar, Ahmad Sabihi

In this paper, a Fourier series in fractional dimensional space is introduced for an arbitrarily periodic function . We call it fractional Fourier series of the order .…

math.OC2021

On optimization and solution of roots of a function using Taylor's expansion and fractional derivatives

Ali Dorostkar, Ahmad Sabihi

A method is given for finding roots of a one-variable function using Taylor's expansion of that function and fractional derivative calculated at a suitable tangent point without us…

eess.SP2019

Complementary Fractional Dimensional Order of Nyquist Sinc Sequences for Time Division Multiplexing

Ali Dorostkar

High speed data transmission is enabled by time and wavelength division multiplexing. Here is introduced fractional dimension order of Nyquist pulses sequences for orthogonal time…

eess.SP2018

Faster than Nyquist Transmission by Non-Orthogonal Time Division Multiplexing of Nyquist Sinc Sequences

Ali Dorostkar, Thomas Schneider

One possibility to break down the capacity limit in optical transmission systems are higher spectral efficiencies, enabled by Faster-than-Nyquist signaling. Here we present the uti…