Results 11 to 20 of about 2,408,659 (235)

Compactness Properties of Pseudo-differential Operators Related with the Coupled Fractional Fourier Transform

open access: diamondAsian Research Journal of Mathematics
In this paper, we introduce the characterization of compactness of the coupled fractional Fourier transform (CFrFT). Few results on compactness of pseudo-differential operators (P.D.O) connected with CFrFT are investigated.
Abhisekh Shekhar
openalex   +2 more sources

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

open access: diamondAsian 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
openalex   +2 more sources

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

open access: diamondAsian 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
openalex   +2 more sources

TWO NEW RELATIONS FOR THE COUPLED FRACTIONAL FOURIER TRANSFORM

open access: bronzeJournal of Southwest Jiaotong University, 2023
Andi Topan   +1 more
openalex   +3 more sources

Uncertainty principles associated with the short time quaternion coupled fractional Fourier transform [PDF]

open access: green, 2023
In this paper, we extend the coupled fractional Fourier transform of a complex valued functions to that of the quaternion valued functions on $\mathbb{R}^4$ and call it the quaternion coupled fractional Fourier transform (QCFrFT).
Bivek Gupta, Amit Verma, Ravi P. Agarwal
openalex   +2 more sources

Radar matched filtering using the fractional fourier transform [PDF]

open access: yes, 2010
-A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine   +2 more
core   +4 more sources

Fractional fourier transform based monopulse radar for combating jamming interference [PDF]

open access: yes, 2010
Monopulse radars are used to track a target that appears in the look direction beam width. The distortion produced when manmade high power interference (jamming).
Elgamel, Sherif A.E.H., Soraghan, J.J.
core   +4 more sources

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

open access: yesAlexandria 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

Fractional transformations of generalised functions [PDF]

open access: yes, 2009
A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson   +2 more
core   +4 more sources

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

open access: yesCase 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   +4 more
doaj   +1 more source

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