Results 1 to 10 of about 93,124 (261)

Rigorous Interpretation of Engineering Formulae for the Convolution and the Fourier Transform Based on the Generalized Integral [PDF]

open access: goldIEEE Access, 2022
This paper aims at providing a framework suitable for justification of classical convolution integral and Fourier transform in many cases not covered by the usual definition of integral used for signal theory applications.
Zeljko Juric, Harun Siljak
doaj   +2 more sources

Modelling one-dimensional elastic diffusion processes in an orthotropic solid cylinder under unsteady volumetric perturbations [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
A polar-symmetric elastic diffusion problem is considered for an orthotropic multicomponent homogeneous cylinder under uniformly distributed radial unsteady volumetric perturbations.
Andrei V Zemskov   +2 more
doaj   +1 more source

The Laguerre transform of a convolution product of vector-valued functions.

open access: yesМатематичні Студії, 2021
The Laguerre transform is applied to the convolution product of functions of a real argument (over the time axis) with values in Hilbert spaces.
A. O. Muzychuk
doaj   +1 more source

Convolution, Correlation and Uncertainty Principle in the One-Dimensional Quaternion Quadratic-Phase Fourier Transform Domain

open access: yesMathematics, 2023
In this paper, we present a novel integral transform known as the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT). We first define the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT) of integrable (and ...
Mohammad Younus Bhat   +3 more
doaj   +1 more source

Quadratic-Phase Hilbert Transform and the Associated Bedrosian Theorem

open access: yesAxioms, 2023
The Hilbert transform is a commonly used linear operator that separates the real and imaginary parts of an analytic signal and is employed in various fields, such as filter design, signal processing, and communication theory.
Hari M. Srivastava   +4 more
doaj   +1 more source

Some properties of a new general triple complex integral transform [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة
This paper investigates a novel triple complex integral transform, highlighting its properties and its applications to functional, integral, and partial differential equations.
Nada Mohammed   +2 more
doaj   +1 more source

Analytic Solution of Black-Scholes-Merton European Power Put Option Model on Dividend Yield with Modified-Log-Power Payoff Function

open access: yesInternational Journal of Analysis and Applications, 2023
This paper proposes a framework based on the celebrated transform of Mellin type (MT) for the analytic solution of the Black-Scholes-Merton European Power Put Option Model (BSMEPPOM) on Dividend Yield (DY) with Modified-Log-Power Payoff Function (MLPPF ...
S.E. Fadugba   +4 more
doaj   +1 more source

Differentiation of the Mittag-Leffler Functions with Respect to Parameters in the Laplace Transform Approach

open access: yesMathematics, 2020
In this work, properties of one- or two-parameter Mittag-Leffler functions are derived using the Laplace transform approach. It is demonstrated that manipulations with the pair direct–inverse transform makes it far more easy than previous methods to ...
Alexander Apelblat
doaj   +1 more source

On the approximation of Volterra integral equations with highly oscillatory Bessel kernels via Laplace transform and quadrature

open access: yesAlexandria Engineering Journal, 2019
The present work focuses on formulating a numerical scheme for approximation of Volterra integral equations with highly oscillatory Bessel kernels. The application of Laplace transform reduces integral equations into algebraic equations.
Marjan Uddin, Muhammad Taufiq
doaj   +1 more source

Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method

open access: yesJournal of Function Spaces, 2014
The aim of this study is to give a good strategy for solving some linear and nonlinear partial differential equations in engineering and physics fields, by combining Laplace transform and the modified variational iteration method. This method is based on
Eman M. A. Hilal, Tarig M. Elzaki
doaj   +1 more source

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