Results 11 to 20 of about 4,021,217 (356)

On Analytical Solution of Time-Fractional Biological Population Model by means of Generalized Integral Transform with Their Uniqueness and Convergence Analysis

open access: yesJournal of Function Spaces, 2022
This research utilizes the generalized integral transform and the Adomian decomposition method to derive a fascinating explicit pattern for outcomes of the biological population model (BPM).
S. Rashid, Rehana Ashraf, E. Bonyah
semanticscholar   +1 more source

Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations

open access: yesFractal and Fractional, 2022
Recently, the importance of fractional differential equations in the field of applied science has gained more attention not only in mathematics but also in electrodynamics, control systems, economic, physics, geophysics and hydrodynamics.
M. Abdalla, M. Akel
semanticscholar   +1 more source

A New Approach on Transforms: Formable Integral Transform and Its Applications

open access: yesAxioms, 2021
In this paper, we introduce a new integral transform called the Formable integral transform, which is a new efficient technique for solving ordinary and partial differential equations.
Rania Saadeh, B. Ghazal
semanticscholar   +1 more source

On the Double of the Emad - Falih Transformation and Its Properties with Applications

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2022
In this paper, we have generalized the concept of one dimensional Emad - Falih integral transform into two dimensional, namely, a double Emad - Falih integral transform.
Saed M. Turq, Emad A. Kuffi
doaj   +1 more source

Spectral-density estimation with the Gaussian integral transform [PDF]

open access: yesPhysical Review A, 2020
The spectral density operator $\hat{\rho}(\omega)=\delta(\omega-\hat{H})$ plays a central role in linear response theory as its expectation value, the dynamical response function, can be used to compute scattering cross-sections.
A. Roggero
semanticscholar   +1 more source

A novel integral transform operator and its applications [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2023
The proposed study is focused to introduce a novel integral transform op-erator, called Generalized Bivariate (GB) transform. The proposed trans-form includes the features of the recently introduced Shehu transform, ARA transform, and Formable transform.
Sh. Arora, A. Pasrija
doaj   +1 more source

The class of Clifford-Fourier transforms [PDF]

open access: yes, 2011
Recently, there has been an increasing interest in the study of hypercomplex signals and their Fourier transforms. This paper aims to study such integral transforms from general principles, using 4 different yet equivalent definitions of the classical ...
De Bie, H., De Schepper, N., Sommen, F.
core   +3 more sources

The New Complex Integral Transform "Complex Sadik Transform" and It's Applications

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2022
In this paper, we introduce a new complex integral transform namely ”Complex Sadik Transform”. The properties of this transformation are investigated. This complex integral transformation is used to reduce the core problem to a simple algebraic equation.
Saed M. Turq, Emad A. Kuffi
doaj   +1 more source

A New Integral Transform: ARA Transform and Its Properties and Applications

open access: yesSymmetry, 2020
In this paper, we introduce a new type of integral transforms, called the ARA integral transform that is defined as: G n [ g ( t ) ] ( s ) = G ( n , s ) = s ∫ 0 ∞ t n − 1 e − s t g ( t ) d t ,   s > 0 .
Rania Saadeh   +2 more
semanticscholar   +1 more source

On an integral transform

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
This paper establishes properties of a convolution type integral transform whose kernel is a Macdonald type Bessel function of zero order. An inversion formula is developed and the transform is applied to obtain the solution of some related integral ...
D. Naylor
doaj   +1 more source

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