Results 21 to 30 of about 40,161 (298)

Delayed Gronwall inequality with weakly singular kernel

, 2023
Delay Gronwall inequality with a weakly singular kernel has been a subject of interest in various mathematical studies. In this article, we will delve into the consideration of this inequality and its application in the study continuity of the state trajectory for a Volterra integral equation with delay.
Asadzade, Javad A., Gasimov, Jasarat J., Mahmudov, Nazim I.   +2 more
openaire   +2 more sources

Fast solvers of weakly singular integral equations of the second kind

Mathematical Modelling and Analysis, 2018
We discuss the bounds of fast solving weakly singular Fredholm integral equations of the second kind with a possible diagonal singularity of the kernel and certain boundary singularities of the derivatives of the free term when the information about the ...
Sumaira Rehman, Arvet Pedas, Gennadi Vainikko   +2 more
doaj   +1 more source

A Numerical Study for the Dirichlet Problem of the Helmholtz Equation

Mathematics, 2021
In this paper, an effective numerical method for the Dirichlet problem connected with the Helmholtz equation is proposed. We choose a single-layer potential approach to obtain the boundary integral equation with the density function, and then we deal ...
Yao Sun, Shijie Hao
doaj   +1 more source

Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation

Abstract and Applied Analysis, 2013
Some new nonlinear weakly singular difference inequalities are discussed, which generalize some known weakly singular inequalities and can be used in the analysis of nonlinear Volterra-type difference equations with weakly singular kernel. An application
Kelong Zheng, Wenqiang Feng, Chunxiang Guo   +2 more
doaj   +1 more source

A new technical for solving a weakly singular integro-differential equations

Journal of Taibah University for Science, 2017
In this work, we transform a weakly singular integro-differential equations with logarithmic kernel to singular integral equations of Cauchy type and we prove by regularization the existence and uniqueness of the solution of this equations.
Mostefa Nadir
doaj   +1 more source

Sinc Collocation Method to Simulate the Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

Axioms, 2023
In this article, we develop an efficient numerical scheme for dealing with fractional partial integro-differential equations (FPIEs) with a weakly singular kernel.
Mingzhu Li, Lijuan Chen, Yongtao Zhou
doaj   +1 more source

The Szegő kernel as a singular integral kernel on a family of weakly pseudoconvex domains [PDF]

Transactions of the American Mathematical Society, 1987
The Szegö kernels on the weakly pseudoconvex domains { Im ⁡
openaire   +2 more sources

Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels [PDF]

SIAM Journal on Mathematical Analysis, 1971
Differentiability of nonlinear Volterra integral equations of second kind with convolutional weakly singular ...
Miller, Richard K., Feldstein, Alan
openaire   +1 more source

A Regularization of Fredholm type singular integral equations

International Journal of Mathematics and Mathematical Sciences, 2001
We present a method to regularize first and second kind integral equations of Fredholm type with singular kernel. By appropriate application of the Poincaré-Bertrand formula we change such integral equations into a second kind Fredholm's integral ...
N. Aliev, S. Mohammad Hosseini
doaj   +1 more source

Euler-Maruyama approximation for stochastic fractional neutral integro-differential equations with weakly singular kernel [PDF]

Physica Scripta
This manuscript examines the problem of nonlinear stochastic fractional neutral integro-differential equations with weakly singular kernels. Our focus is on obtaining precise estimates to cover all possible cases of Abel-type singular kernels. Initially,
Javad A. Asadzade, N. Mahmudov
semanticscholar   +1 more source