Results 41 to 50 of about 223 (102)
A general phase-field model for fatigue failure in brittle and ductile solids [PDF]
, 2021 In this work, the phase-field approach to fracture is extended to model fatigue failure in high- and low-cycle regime. The fracture energy degradation due to the repeated externally applied loads is introduced as a function of a local energy accumulation
Aldakheel, Fadi +4 more
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, 2012 In this note we analyze a model for a unidirectional unsteady flow of a viscous incompressible fluid with time dependent viscosity. A possible way to take into account such behaviour is to introduce a memory formalism, including thus the time dependent ...
Garra, Roberto, Polito, Federico
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Задача Дирихле для обобщенного уравнения Лаврентьева-Бицадзе с дробной производной Герасимова-Капуто [PDF]
, 2020 Исследована задача Дирихле для дифференциального уравнения в частных производных второго порядка с дробной производной по временной переменной в прямоугольной области. В случае если порядок дробного дифференцирования равен двум, рассматриваемое уравнение
Масаева, О. Х.
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An Historical Perspective on Fractional Calculus in Linear Viscoelasticity
, 2012 The article provides an historical survey of the early contributions on the applications of fractional calculus in linear viscoelasticty. The period under examination covers four decades, since 1930's up to 1970's and authors are from both Western and ...
Mainardi, Francesco
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Application of Fractional Calculus to Oil Industry [PDF]
, 2017 In this chapter, we present a discussion about the practical application of the fractal properties of the medium in the mathematical model through the use of fractional partial derivatives.
Fuentes, Carlos +3 more
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Explicit Solutions to Fractional Stefan-like problems for Caputo and Riemann-Liouville Derivatives [PDF]
, 2020 Two fractional two-phase Stefan-like problems are considered by using Riemann-Liouville and Caputo derivatives of order $\alpha \in (0, 1)$ verifying that they coincide with the same classical Stefan problem at the limit case when $\alpha=1$.
Caruso, Nahuel +2 more
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Cauchy problem for a system of equations with the partial Gerasimov – Caputo derivatives
REPORTS ADYGE (CIRCASSIAN) INTERNATIONAL ACADEMY OF SCIENCES, 2021 For the system of equations with the partial Gerasimov – Caputo derivatives, a general representation of regular in a rectangular domain solutions is constructed. Cauchy problem is investigated. Theorems of existence and uniqueness of the solution are proved.
openaire +1 more source
On the generalized Laplace transform [PDF]
, 2021 This article belongs to the Special Issue Discrete and Fractional Mathematics: Symmetry and Applications.In this paper we introduce a generalized Laplace transform in order to work with a very general fractional derivative, and we obtain the properties ...
Bosch, Paul +3 more
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Analysis of a Finite Difference Method for a Time-Fractional Black–Scholes Equation
Fractal and FractionalThe goal of this paper is to give an error analysis of a finite difference method for a time-fractional Black–Scholes equation with weakly singular solutions.
Qingzhao Li +3 more
doaj +1 more source
Fractional differential equations solved by using Mellin transform
, 2014 In this paper, the solution of the multi-order differential equations, by using Mellin Transform, is proposed. It is shown that the problem related to the shift of the real part of the argument of the transformed function, arising when the Mellin ...
Butera, Salvatore, Di Paola, Mario
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