Results 51 to 60 of about 2,910,066 (190)
Fundamental Solutions for Periodic Media [PDF]
Advances in Mathematical Physics, 2014 Necessity for the periodic fundamental solutions arises when the periodic boundary value problems should be analyzed. The latter are naturally related to problems of finding the homogenized properties of the dispersed composites, porous media, and media with uniformly distributed microcracks or dislocations.
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The boundary value problem for an ordinary linear half-order differential equation
Қарағанды университетінің хабаршысы. Математика сериясыThis study is devoted to the study of the solution of a boundary value problem for an ordinary linear differential equation of half order with constant coefficients.
N. Aliyev, M. Rasulov, B. Sinsoysal
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Applications of the Fractional Diffusion Equation to Option Pricing and Risk Calculations
Mathematics, 2019 In this article, we first provide a survey of the exponential option pricing models and show that in the framework of the risk-neutral approach, they are governed by the space-fractional diffusion equation.
Jean-Philippe Aguilar +2 more
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Alfven Wave Collisions, The Fundamental Building Block of Plasma Turbulence II: Numerical Solution
, 2013 This paper presents the numerical verification of an asymptotic analytical solution for the nonlinear interaction between counterpropagating Alfven waves, the fundamental building block of astrophysical plasma turbulence. The analytical solution, derived
Dorland, William +2 more
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Time-fractional equations with reaction terms: fundamental solutions and asymptotics
, 2019 We analyze the fundamental solution of a time-fractional problem, establishing existence and uniqueness in an appropriate functional space. We also focus on the one-dimensional spatial setting in the case in which the time-fractional exponent is equal ...
Dipierro, Serena +3 more
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Fundamental Solutions of Nonlocal Hörmander’s Operators [PDF]
Communications in Mathematics and Statistics, 2016 Consider the following nonlocal integro-differential operator: for $ \in(0,2)$, $$ \cL^{( )}_{ ,b} f(x):=\mbox{p.v.} \int_{|z|0, $$ by using Bismut's approach to the Malliavin calculus with jumps, we prove the existence of fundamental solutions to operator $\cL^{( )}_{ ,b}$.
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Degenerate Integro-Differential Equations of Convolution Type in Banach Spaces
Известия Иркутского государственного университета: Серия "Математика", 2016 We consider an integro-differential equation in convolutions of a special kind in Banach spaces with the Fredholm operator in the main part. The article concerns with the problem of unique solvability of the Cauchy-problem for this equation in the class ...
M. Falaleev
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Задача Коши для уравнения дробного порядка с инволюцией
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiВ работе рассматривается линейное обыкновенное дифференциальное уравнение с производной дробного порядка, которое содержит оператор инволюции в подчиненном слагаемом.
Энеева, Л.М.
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Advanced Engineering Research, 2017 Introduction. The work objective is to develop a new universal numerical method for solving boundary value problems for linear elliptic equations. Materials and Methods .
Sergey Yu. Knyazev +1 more
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Archives of Mechanics, 2017 The purpose of the present paper is to develop the classical potential method in the linear theory of thermoelasticity for materials with a double porosity structure based on the mechanics of materials with voids.
M. Svanadze
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