Results 11 to 20 of about 101 (75)
The Riemann–Liouville fractional derivative for Ambartsumian equation
Results in Physics, 2020 La ecuación de Ambartsumian, basada en la derivada fraccionaria modificada de Riemann–Liouville, se analiza en este trabajo. La solución se expresa como una serie de potencias de potencias arbitrarias y se ha comprobado su convergencia. Además, mostramos que la presente solución se reduce a los resultados en la literatura cuando la derivada ...
Essam R El-Zahar +2 more
exaly +3 more sources
Development of analytical solution for a generalized Ambartsumian equation
AIMS Mathematics, 2020 Sur la base de la dérivée conformable, un modèle généralisé de l'équation ambartsumienne est analysé dans cet article. La solution est exprimée comme une série de puissances de puissances arbitraires. De plus, la convergence de la solution série obtenue est théoriquement prouvée.
Ebrahem A Algehyne +2 more
exaly +3 more sources
A study of fractional order Ambartsumian equation involving exponential decay kernel
AIMS Mathematics, 2021 Récemment, les opérateurs fractionnaires non singuliers ont un rôle important dans la modélisation des problèmes du monde réel. Plus précisément, les opérateurs Caputo-Fabrizio sont utilisés pour étudier une meilleure dynamique des processus de mémoire.
Shabir Ahmad, Aman Ullah, Ali AKGÜL
exaly +4 more sources
A comparison between Monte Carlo method and the numerical solution of the Ambartsumian-Chandrasekhar equations to unravel the dielectric response of metals [PDF]
Computational Materials Science, 2020 In this work we describe two different models for interpreting and predicting Reflection Electron Energy Loss (REEL) spectra and we present results of a study on metallic systems comparing the computational cost and the accuracy of these techniques. These approaches are the Monte Carlo (MC) method and the Numerical Solution (NS) of the Ambartsumian ...
Olga Ridzel +2 more
exaly +4 more sources
Solution of Ambartsumian Delay Differential Equation in the q-Calculus
International Journal of Analysis and Applications, 2020 The Ambartsumian equation in view of the q-calculus is investigated in this paper. This equation is of practical interest in the theory of surface brightness in the Milky Way. Two approaches are applied to obtain the closed form solution. The first approach implements a direct series assumption while the second approach is based on the Adomian ...
Abdulaziz M. Alanazi, Abdelhalim Ebaid
openaire +3 more sources
AIMS Mathematics<p>The Ambartsumian delay differential equation with a variable coefficient is considered in this paper. An effective transformation is produced to convert the extended Ambartsumian equation to the pantograph model. Two kinds of analytical solutions are determined.
Abdelhalim Ebaid +2 more
exaly +3 more sources
Iterative methods for solving Ambartsumian’s equations. Part 1
University proceedings. Volga region. Physical and mathematical sciences, 2021 Background. Ambartsumian’s equation and its generalizations are one of the main integral equations of astrophysics, which have found wide application in many areas of physics and technology. An analytical solution to this equation is currently unknown, and the development of approximate methods is urgent.
I.V. Boykov, A.A. Shaldaeva
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Journal of Geophysical Research: Biogeosciences, Volume 128, Issue 6, June 2023., 2023 Abstract To understand surface biogeophysical processes, accurately evaluating the geographical and temporal fluctuations of soil moisture is crucial. It is well known that the surface soil moisture content (SMC) affects soil reflectance at all solar spectrum wavelengths.
Nayma Binte Nur, Charles M. Bachmann
wiley +1 more source
Simulated Lunar Surface Hydration Measurements Using Multispectral Lidar at 3 µm
Earth and Space Science, Volume 9, Issue 8, August 2022., 2022 Abstract Accurately measuring the variability of spectroscopic signatures of hydration (H2O + OH) on the illuminated lunar surface at 3 μm as a function of latitude, lunar time of day, and composition is crucial to determining the generation and destruction mechanisms of OH species and understanding the global water cycle.
D. R. Cremons, C. I. Honniball
wiley +1 more source
Visible to Mid‐Infrared Optical Constants of Orthopyroxenes
Earth and Space Science, Volume 9, Issue 4, April 2022., 2022 Abstract Radiative transfer models of remotely acquired infrared spectra result in quantitative identification of minerals on planetary surfaces. Optical constants, or the real (n) and imaginary (k) indices of refraction are necessary inputs in such models.
Melinda J. Rucks +5 more
wiley +1 more source