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Antibiotics, 2022 Infectious diseases caused by various nosocomial microorganisms affect worldwide both immunocompromised and relatively healthy persons. Bacteria and fungi have different tools to evade antimicrobials, such as hydrolysis damaging the drug, efflux systems,
Ruba Y. Mahmoud +13 more
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Inorganics, 2023 The synthesis of new fluorescent probes, based on biocompatible luminophors and exhibiting various specificities, is intensively developed worldwide. Many luminophors contain a hydrophobic group that limits their application for cell staining under vital
Galina B. Guseva +12 more
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Investigation of the Boundary Layers of the Singular Perturbation Problem Including the Cauchy-Euler Differential Equation [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, for a singular perturbation problem consist of the Cauchy-Euler equation with local and non-local boundary conditions. We investigate the condition of the self-adjoint and the non-self-adjoint, also look for the formation or non ...
Alireza Sarakhsi, Siamak Ashrafi
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Bruno Pini Mathematical Analysis Seminar, 2023 We are addressing a parabolic equation with fractional derivatives in time and space that governs the scaling limit of continuous-time random walks with anomalous diffusion. For these equations, the fundamental solution represents the probability density
Elisa Affili, Jukka T. Kemppainen
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Local Polya fluctuations of Riesz gravitational fields and the Cauchy problem
Karpatsʹkì Matematičnì Publìkacìï, 2023 We consider a pseudodifferential equation of parabolic type with a fractional power of the Laplace operator of order $\alpha\in(0;1)$ acting with respect to the spatial variable.
V.A. Litovchenko
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Potentials for a three-dimensional elliptic equation with one singular coefficient and their application [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 A potential theory for a three-dimensional elliptic equation with one singular coefficient is considered. Double- and simple-layer potentials with unknown density are introduced, which are expressed in terms of the fundamental solution of the mentioned ...
Tuhtasin G. Ergashev
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Қарағанды университетінің хабаршысы. Математика сериясы, 2022 A boundary value problem in a rectangular domain for a system of partial differential equations with the Dzhrbashyan-Nersesyan fractional differentiation operators with constant coefficients is studied in the case when the matrix coefficients of the ...
M.O. Mamchuev
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On fundamental matrix solutions [PDF]
Proceedings of the American Mathematical Society, 1954 (1) l[y] -y'A(x)y = 0, s[y] My(a) + Ny(b) = 0, can be represented in terms of the Green's matrix of the system, or in terms of a special generalized Green's matrix in case the system (1) is compatible. For the system (1), A (x) is an n Xn matrix of complex-valued continuous functions of the real variable x on the finite interval a
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Mathematics, 2017 In this paper, some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation are deduced.
Yuri Luchko
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Известия Иркутского государственного университета: Серия "Математика", 2020 The paper considers a new approach to constructing generalized solutions of degenerate integro-differential equations convolution type in Banach spaces.
M.V. Falaleev
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