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Andrea Adriani, Stefano Serra-Capizzano and Cristina Tablino-Possio
We consider the Helmholtz equation and the fractional Laplacian in the case of the complex-valued unbounded variable coefficient wave number μ" role="presentation" style="position: relative;">??µ
µ
, approximated by finite differences. In a rec...
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Yuriy Povstenko, Tamara Kyrylych, Bozena Wozna-Szczesniak and Andrzej Yatsko
The central-symmetric time-fractional heat conduction equation with heat absorption is investigated in a solid with a spherical hole under time-harmonic heat flux at the boundary. The problem is solved using the auxiliary function, for which the Robin-ty...
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Mubeen Fatima, Ravi P. Agarwal, Muhammad Abbas, Pshtiwan Othman Mohammed, Madiha Shafiq and Nejmeddine Chorfi
A B-spline is defined by the degree and quantity of knots, and it is observed to provide a higher level of flexibility in curve and surface layout. The extended cubic B-spline (ExCBS) functions with new approximation for second derivative and finite diff...
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M. Mohamed, S. M. Mabrouk and A. S. Rashed
In recent times, the global community has been faced with the unprecedented challenge of the coronavirus disease (COVID-19) pandemic, which has had a profound and enduring impact on both global health and the global economy. The utilization of mathematic...
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Iqbal M. Batiha, Ahmad A. Abubaker, Iqbal H. Jebril, Suha B. Al-Shaikh, Khaled Matarneh and Manal Almuzini
This paper establishes a novel fractional-order version of a recently expanded form of the Susceptible-Exposed-Infectious-Recovery (SEIR) Mpox model. This model is investigated by means of demonstrating some significant findings connected with the stabil...
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Lorenzo De Carlo, Mohammad Farzamian, Antonietta Celeste Turturro and Maria Clementina Caputo
In recent years, geophysical techniques have been increasingly used to monitor flow and transport processes in the Earth critical zone (ECZ). Among these, electrical resistivity tomography (ERT) is a powerful tool used to predict hydrological parameters ...
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Esraa Ali, Annalina Caputo and Gareth J. F. Jones
Faceted Search Systems (FSSs) have gained prominence as one of the dominant search approaches in vertical search systems. They provide facets to educate users about the information space and allow them to refine their search query and navigate back and f...
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Angel Golev, Snezhana Hristova and Asen Rahnev
In this paper an algorithm for approximate solving of a boundary value problem for a nonlinear differential equation with a special type of fractional derivative is suggested. This derivative is called a generalized proportional Caputo fractional derivat...
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Luiza Torres-Nunes, Patrícia Prado da Costa-Borges, Laisa Liane Paineiras-Domingos, José Alexandre Bachur, Danúbia da Cunha de Sá-Caputo and Mario Bernardo-Filho
Background: Down syndrome (DS) is the most common chromosomal disorder and is related to congenital heart disease, sleep disorders and obesity. Sleep problems are common in DS children, including obstructive sleep apnea. This study aimed to investigate t...
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Manuel Mangoni, Francesco Petrizzelli, Niccolò Liorni, Salvatore Daniele Bianco, Tommaso Biagini, Alessandro Napoli, Marta Adinolfi, Pietro Hiram Guzzi, Antonio Novelli, Viviana Caputo and Tommaso Mazza
The process of aging is a complex phenomenon that involves a progressive decline in physiological functions required for survival and fertility. To better understand the mechanisms underlying this process, the scientific community has utilized several to...
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