Results 1 to 10 of about 61,209 (263)

The alchemical integral transform revisited

The Journal of Chemical Physics
We recently introduced the Alchemical Integral Transform (AIT), enabling the prediction of energy differences, and guessed an ansatz to parameterize space r in some alchemical change λ. Here, we present a rigorous derivation of AIT’s kernel K and discuss the parameterization r(λ) in n dimensions, i.e., necessary conditions, mathematical freedoms, and ...
Simon León Krug, O. Anatole von Lilienfeld   +1 more
openaire   +3 more sources

Khalouta transform and applications to Caputo-fractional differential equations

Frontiers in Applied Mathematics and Statistics
The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative.
Nikita Kumawat, Akanksha Shukla, Manvendra Narayan Mishra, Rahul Sharma, Ravi Shanker Dubey   +4 more
doaj   +1 more source

Hybrid integral transform analysis of supercooled droplets solidification. [PDF]

Proc Math Phys Eng Sci, 2021
Carvalho IS, Cotta RM, Naveira-Cotta CP, Tiwari MK.   +3 more
europepmc   +1 more source

The Master Integral Transform with Entire Kernels

Mathematics
We study an integral transform—here called the Master Integral Transform—in which the kernel is an arbitrary entire function of finite order. When the nonzero Taylor coefficients of the kernel have positive Beurling–Malliavin density, we prove ...
Mohammad Abu-Ghuwaleh
doaj   +1 more source

Generalized integral Laplace transform and its application to solving some integral equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We present integral transforms $\widetilde {\mathcal L}\left\{f(t);x\right\}$ and $\widetilde {\mathcal L}_{\gamma_1,\gamma_2,\gamma} \left\{f(t);x\right\}$, generalizing the classical Laplace transform.
Svetlana M Zaikina
doaj   +1 more source

A State-of-the-Art Review on Integral Transform Technique in Laser-Material Interaction: Fourier and Non-Fourier Heat Equations. [PDF]

Materials (Basel), 2021
Oane M, Mahmood MA, Popescu AC.
europepmc   +1 more source

Introduction of New General Laplace-Type Integral Transform: The Iyeme-Okpo Transform

Journal of Applied Sciences and Environmental Management
In this paper, a new general Laplace-type integral transform called Iyeme-Okpo transform that generalizes all the existing Laplace-type integral transforms has been introduced. Thus, existing integral transforms such as Laplace, Sumudu, Natural, Jafari,
E. E. Iyeme, O. R. Okpo
doaj  

On one generalization of Bessel function

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
In this paper the generalized Bessel function $J_{\mu ,\omega } ( x )$ is introduced. The function $J_{\mu ,\omega } ( x )$ is given as one solution of the following differential equation: $$ x^2{y}''+x{y}'+\left( {x-\mu ^2} \right)\left( {x+\omega ^2 ...
Nina A Virchenko, Maria O Chetvertak
doaj   +1 more source

A new method for obtaining model-free viscoelastic material properties from atomic force microscopy experiments using discrete integral transform techniques. [PDF]

Beilstein J Nanotechnol, 2021
Uluutku B, López-Guerra EA, Solares SD.
europepmc   +1 more source

Integral transformation and Darboux transformation

, 2009
We review Darboux-Crum transformation of Heun's differential equation. By rewriting an integral transformation of Heun's differential equation into a form of elliptic functions, we see that the integral representation is a generalization of Darboux-Crum transformation. We also consider conservation of monodromy with respect to the transformations.
openaire   +2 more sources