Results 21 to 30 of about 32,501 (269)

The Estimation of Pseudo-differential Operators Utilising the Coupled Fractional Fourier Transform and a Certain Inequality

Asian Research Journal of Mathematics
In this research work, the symbol class Λ (R×R×R×R) is discussed. Then, we give the fundamental properties of this symbol class. Furthermore, the Pseudo-differential operators (p.d.o.) A(x, y,D′x,y) and A(x, y,D′x,y) involving the coupled fractional Fourier transform (CFrFT) Fα1,α2 associated with symbol classes are defined.
Abhisekh Shekhar
openaire   +2 more sources

Product and Commutator of pseudo-differential operators involving the coupled fractional Fourier transform

International Journal of Applied Mathematics
The symbol class Λ(R × R × R × R) is discussed and it is shownthat the product of any two symbols from this class is again in Λ. The Pseudodifferential operators (p.d.o.) A(x, y,Dx0,y) and A (x, y,Dx0,y) involving the coupledfractional Fourier transform Fα1,α2associated with symbol classes are defined.Product and Commutator for the p.d.o.
Abhisekh Shekhar
openaire   +2 more sources

Some Results on Pseudo-differential Operators Related Coupled Fractional Fourier Transform Involving Semi-norms & Norms

Asian Research Journal of Mathematics
In this manuscript, some results on the Pseudo-differential operators (p.d.o.) L(x, y,D′ x,y) and L(x, y,D′ x,y) are found by using semi-norms and norms in Herbitian Spaces, a set of compact operators and L2(R×R) with the symbol classes Λ(R × R × R × R).
Abhisekh Shekhar
openaire   +2 more sources

A study on the thermoelastic interaction in two-dimension orthotropic materials under the fractional derivative model

Alexandria Engineering Journal, 2023
The extended thermoelastic theory with fractional derivative is described in this article to estimate temperature variation, displacement components, and stress components in two-dimensional orthotropic materials.
Aatef Hobiny, Ibrahim A. Abbas
doaj   +1 more source

A thermal optimization throughan innovative mechanism of free convection flow of Jeffrey fluid using non-local kernel

Case Studies in Thermal Engineering, 2021
Optimality for operating temperature can improve the reliability of thermodynamics of convection flow of Jeffrey fluid through mathematical techniques; this is because thermal convection is invoked in several engineering problems for knowingan accurate ...
Aziz Ullah Awan, Qasim Ali, Samia Riaz, Nehad Ali Shah, Jae Dong Chung   +4 more
doaj   +1 more source

New fractional model to analyze impacts of Newtonian heating, shape factor and ramped flow function on MgO–SiO2–Kerosene oil hybrid nanofluid

Case Studies in Thermal Engineering, 2022
In modern times, diathermal oils have piqued the attraction of various researchers due to their multiple significant industrial applications. The present work aims to investigate the heat transfer performance of a specific diathermal oil called kerosene ...
Asifa, Talha Anwar, Poom Kumam, Shah Muhammad   +3 more
doaj   +1 more source

Universal Unitary Photonic Circuits by Interlacing Discrete Fractional Fourier Transform and Phase Modulation

, 2023
We introduce a novel parameterization of complex unitary matrices, which allows for the efficient photonic implementation of arbitrary linear discrete unitary operators.
Mohammad-Ali Miri (3960473), Matthew Markowitz (12523069)   +1 more
core   +2 more sources

Numerical analysis of light transmission in dual-core waveguides [PDF]

, 2023
We use a pseudo-spectral Fast Fourier Transform method on MATLAB to study solitary wave solutions for fractional, coupled non-linear Schrödinger equations and find novel stability boundaries associated with solution symmetry within the fractional ...
McKeiver, Joshua
core   +1 more source

Development of dispersive solid-phase microextraction coupled with high-pressure liquid chromatography for the preconcentration and determination of the selected neonicotinoid insecticides

Journal of Analytical Science and Technology, 2022
Neonicotinoid insecticides have raised a lot of societal concerns due to their environmental ubiquity and unique mode of action. Therefore, it is of great research interest to monitor their occurrence in the environmental waters. However, these compounds
Ngwako Joseas Waleng, Shirley Kholofelo Selahle, Anele Mpupa, Philiswa Nosizo Nomngongo   +3 more
doaj   +1 more source

Integrated Photonic Fractional Convolution Accelerator

, 2023
An integrated photonic circuit architecture to perform a modified-convolution operation based on the Discrete Fractional Fourier Transform (DFrFT) is introduced.
Mohammad-Ali Miri (3960473), Kevin Zelaya (14406624)   +1 more
core   +1 more source