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Series Solutions of Three-Dimensional Magnetohydrodynamic Hybrid Nanofluid Flow and Heat Transfer [PDF]

Nanomaterials
Hybrid nanofluids have many real-world applications. Research has shown that mixed nanofluids facilitate heat transfer better than nanofluids with one type of nanoparticle. New applications for this type of material include microfluidics, dynamic sealing,
Xiangcheng You, Yanbin Wang
doaj   +2 more sources

Properties of the series solution for Painlevé I [PDF]

Journal of Nonlinear Mathematical Physics, 2021
17 pages, 1 figure.
Hone, A. N. W., Ragnisco, Orlando, Zullo, Federico   +2 more
openaire   +5 more sources

On the series solutions of integral equations in scattering

Comptes Rendus. Mathématique
We study the validity of the Neumann or Born series approach in solving the Helmholtz equation and coefficient identification in related inverse scattering problems.
Triki, Faouzi, Karamehmedović, Mirza
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Series Solutions of High-Dimensional Fractional Differential Equations

Mathematics, 2021
In the present paper, the series solutions and the approximate solutions of the time–space fractional differential equations are obtained using two different analytical methods.
Jing Chang, Jin Zhang, Ming Cai
doaj   +1 more source

A modern analytic method to solve singular and non-singular linear and non-linear differential equations

Frontiers in Physics, 2023
This article circumvents the Laplace transform to provide an analytical solution in a power series form for singular, non-singular, linear, and non-linear ordinary differential equations.
Ahmad El-Ajou, Haneen Al-ghananeem, Rania Saadeh, Ahmad Qazza, Moa’ath N. Oqielat   +4 more
doaj   +1 more source

Marangoni Driven Boundary Layer Flow of Carbon Nanotubes Toward a Riga Plate

Frontiers in Physics, 2020
The objective of this article is to explore radiative Marangoni boundary layer flow of carbon nanotubes along a surface that is an electromagnetic actuator, such as a Riga surface.
Anum Shafiq, Islam Zari, Ilyas Khan, Tahir Saeed Khan, Asiful H. Seikh, El-Sayed M. Sherif, El-Sayed M. Sherif   +6 more
doaj   +1 more source

The Analytic Solutions of the Fractional-Order Model for the Spatial Epidemiology of the COVID-19 Infection

Advances in Mathematical Physics, 2023
This paper provides a mathematical fractional-order model that accounts for the mindset of patients in the transmission of COVID-19 disease, the continuous inflow of foreigners into the country, immunization of population subjects, and temporary loss of ...
Benedict Barnes, Martin Anokye, Mohammed Muniru Iddrisu, Bismark Gawu, Emmanuel Afrifa   +4 more
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Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative

Fractal and Fractional, 2023
In this paper, the new representations of optical wave solutions to fiber Bragg gratings with cubic–quartic dispersive reflectivity having the Kerr law of nonlinear refractive index structure are retrieved with high accuracy.
Hira Tariq, Ghazala Akram, Maasoomah Sadaf, Maria Iftikhar, Liliana Guran   +4 more
doaj   +1 more source

Residual power series algorithm for fractional cancer tumor models

Alexandria Engineering Journal, 2020
In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution.
Zeliha Korpinar, Mustafa Inc, Evren Hınçal, Dumitru Baleanu   +3 more
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Exact Solutions for the KMM System in (2+1)-Dimensions and Its Fractional Form with Beta-Derivative

Fractal and Fractional, 2022
Fractional calculus is useful in studying physical phenomena with memory effects. In this paper, the fractional KMM (FKMM) system with beta-derivative in (2+1)-dimensions was studied for the first time.
Lihua Zhang, Bo Shen, Hongbing Jiao, Gangwei Wang, Zhenli Wang   +4 more
doaj   +1 more source