Results 21 to 30 of about 726 (173)
Solving Abel’s Type Integral Equation with Mikusinski’s Operator of Fractional Order
Advances in Mathematical Physics, 2013 This paper gives a novel explanation of the integral equation of Abel’s type from the point of view of Mikusinski’s operational calculus. The concept of the inverse of Mikusinski’s operator of fractional order is introduced for constructing a ...
Ming Li, Wei Zhao
doaj +1 more source
Solutions to Abel’s Integral Equations in Distributions [PDF]
Axioms, 2018 The goal of this paper is to study fractional calculus of distributions, the generalized Abel’s integral equations, as well as fractional differential equations in the distributional space D ′ ( R + ) based on inverse convolutional operators and Babenko’s approach.
Chenkuan Li +2 more
openaire +3 more sources
A Special Abel's Integral Equation
Missouri Journal of Mathematical Sciences, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Risteski, Ice B. +2 more
openaire +3 more sources
Determination of Nonlinear Creep Parameters for Hereditary Materials
Applied Sciences, 2018 This work proposes an effective algorithm for description of nonlinear deformation of hereditary materials based on Rabotnov’s method of isochronous creep curves.
Alibai Iskakbayev +3 more
doaj +1 more source
Solutions to viscous Burgers equations with time dependent source term
Electronic Journal of Differential Equations, 2021 We study the existence and uniqueness of weak solutions for a Cauchy problem of a viscous Burgers equation with a time dependent reaction term involving Dirac measure.
Satyanarayana Engu +2 more
doaj
A mixed boundary value problem for Laplace's equation involving a nearly circular disk
International Journal of Mathematics and Mathematical Sciences, 1994 The electrostatic problem of a nearly circular disk charged to a unit potential is considered for its solution as it serves as the most important and symbolic mixed boundary value problem for Laplace's equation with the aid of which many complicated ...
A. Chakrabarti, D. P. Manna
doaj +1 more source
Determination of the Creep Parameters of Linear Viscoelastic Materials
Journal of Applied Mathematics, 2016 Creep process of linear viscoelastic materials is described by the integral equation of Boltzmann-Volterra in which creep kernel is approximated by Rabotnov’s fractional exponential function.
Alibay Iskakbayev +2 more
doaj +1 more source
Approximate solution of Abel integral equation
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Li, Huang, Yong, Li, Xian-Fang
openaire +2 more sources
Plasma Diagnosis by Laser Beam Scanning [PDF]
, 1975 A procedure is developed for determining the radial electron density and temperature profiles of a rotationally symmetric plasma. This high‐resolution technique involves measuring the deflection of laser beams incident transverse to the plasma. Diagnosis
Casperson, Lee W., Cheng, T. K.
core +2 more sources
Trabecular bone ontogeny of the human talus
The Anatomical Record, EarlyView.Abstract Studies of trabecular ontogeny may provide insight into the factors that drive healthy bone development. There is a growing understanding of how the juvenile skeleton responds to these influences; however, gaps in our knowledge remain. This study aims to identify ontogenetic trabecular patterns and regional changes during development within ...
Rebecca A. G. Reid +2 more
wiley +1 more source