Results 11 to 20 of about 513,787 (265)
Three-dimensional fundamental solution in transversely isotropic thermoelastic diffusion material [PDF]
Theoretical and Applied Mechanics, 2012 The aim of the present investigation is to study the fundamental solution for three dimensional problem in transversely isotropic thermoelastic diffusion medium. After applying the dimensionless quantities, two displacement functions are introduced to
Kumar Rajneesh, Chawla Vijay
doaj +1 more source
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
doaj +1 more source
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
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
On Fundamental Solutions in Clifford Analysis [PDF]
Complex Analysis and Operator Theory, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brackx, Fred +3 more
openaire +3 more sources
On the Behaviour at Infinity of Solutions to Nonlocal Parabolic Type Problems
Известия Иркутского государственного университета: Серия "Математика", 2019 The paper deals with possible behaviour at infinity of solutions to the Cauchy problem for a parabolic type equation whose elliptic part is the generator of a Markov jump process , i.e. a nonlocal diffusion operator.
Е. А. Zhizhina, А. L. Piatnitski
doaj +1 more source
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
doaj +1 more source
Fundamental solution of the model equation of anomalous diffusion of fractional order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 Fundamental solution of the model equation of anomalous diffusion with Riemann-Liouville operator is constructed. Using the properties of the integral transformation with Wright function in kernel, we give estimates for the fundamental solution. When the
Fatima G Khushtova
doaj +1 more source
Engineering Transactions, 2016 A static and dynamic analysis of Kirchhoff plates is presented in this paper. The proposed approach avoids Kirchhoff forces at the plate corners and equivalent shear forces at a plate boundary. Two unknown variables are considered at the boundary element
Michał Jan GUMINIAK
doaj +1 more source