Casimir effect associated with fractional Laplacian and fractal dimensions

RA El-Nabulsi, W Anukool - Physica E: Low-Dimensional Systems and …, 2023 - Elsevier
Casimir effect predicts that two parallel flat neutral plates are attracted to each other due to
quantum fluctuations of the electromagnetic field. In this communication, we study Casimir …

Maximum principle for space and time-space fractional partial differential equations

M Kirane, BT Torebek - Zeitschrift für Analysis und ihre Anwendungen, 2021 - ems.press
In this paper, new estimates of the sequential Caputo fractional derivatives of a function at its
extremum points are obtained. We derive comparison principles for the linear fractional …

A nonlocal fractional Helmholtz equation

M Kirane, BK Turmetov, BT Torebek - arxiv preprint arxiv:1608.02135, 2016 - arxiv.org
In this paper we study some boundary value problems for a fractional analogue of second
order elliptic equation with an involution perturbation in a rectangular domain. Theorems on …

Вторая краевая задача для обобщенного уравнения влагопереноса Аллера-Лыкова

МА Керефов, СХ Геккиева - … технического университета. Серия …, 2019 - cyberleninka.ru
При математическом моделировании сплошных сред с памятью возникают уравнения,
описывающие новый тип волнового движения, занимающего промежуточное …

Second boundary-value problem for the generalized Aller–Lykov equation

MA Kerefov, SK Gekkieva - Journal of Samara State …, 2019 - journals.eco-vector.com
The equations that describe a new type of wave motion arise in the course of mathematical
modeling for continuous media with memory. This refers to differential equations of fractional …

Задача Дирихле для обобщённого уравнения Лапласа с дробной производной

ОХ Масаева - Челябинский физико-математический журнал, 2017 - cyberleninka.ru
Исследована задача Дирихле для обобщённого уравнения Лапласа с дробной
производной Римана Лиувилля по одной из двух независимых переменных в верхней …

[PDF][PDF] Well-posed problems for the fractional Laplace equation with integral boundary conditions

N Tokmagambetov, BT Torebek - 2018 - digital.library.txstate.edu
In this remark we study the boundary-value problems for a fractional analogue of the
Laplace equation with integral boundary conditions in rectangular and half-strip domains …

The modified quasi-boundary-value method for an ill-posed generalized elliptic problem

W Selmani, N Boussetila, M Kirane… - Advances in Nonlinear …, 2024 - degruyter.com
In this study, we are interested in the regularization of an ill-posed problem generated by a
generalized elliptic equation in an abstract framework. The regularization strategy is based …

The conditional stability and an iterative regularization method for a fractional inverse elliptic problem of Tricomi-Gellerstedt-Keldysh type

S Djemoui, MSE Meziani… - … Modelling and Analysis, 2024 - journals.vilniustech.lt
The present paper is devoted to identifying an inaccessible boundary condition for a
fractional elliptic problem of Tricomi-Gellerstedt-Keldysh-type. Using the expansion Fourier …

On a class of fractional elliptic problems with an involution perturbation

BK Turmetov, BT Torebek - International Conference on …, 2016 - ui.adsabs.harvard.edu
On a class of fractional elliptic problems with an involution perturbation - NASA/ADS Now on
home page ads icon ads Enable full ADS view NASA/ADS On a class of fractional elliptic …