Results 1 to 10 of about 237 (90)

Inverse Problem for a Mixed Type Integro-Differential Equation with Fractional Order Caputo Operators and Spectral Parameters

Axioms, 2020
The questions of the one-value solvability of an inverse boundary value problem for a mixed type integro-differential equation with Caputo operators of different fractional orders and spectral parameters are considered.
Tursun K. Yuldashev, Erkinjon T. Karimov
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Numerical Solution of the Cauchy-Type Singular Integral Equation with a Highly Oscillatory Kernel Function [PDF]

Mathematics, 2019
This paper aims to present a Clenshaw–Curtis–Filon quadrature to approximate thesolution of various cases of Cauchy-type singular integral equations (CSIEs) of the second kind witha highly oscillatory kernel function. We adduce that the zero case oscillation (k = 0) proposed methodgives more accurate results than the scheme introduced in Dezhbord at el.
null SAIRA, Shuhuang Xiang, Guidong Liu
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A NEW EFFICIENT METHOD FOR TWO CLASSES OF SINGULAR CONVOLUTION INTEGRAL EQUATIONS OF NON-NORMAL TYPE WITH CAUCHY KERNEL

Journal of Applied Analysis & Computation, 2022
Summary: In this article, our task is to study the existence and Noethericity of solution for two classes of singular convolution integral equations with Cauchy kernels in the non-normal type case. To obtain the conditions of solvability for such equations, we establish regularity theory of solvability.
Sun, Meng, Li, Pingrun, Bai, Songwei
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Some classes of singular integral equations of convolution type in the class of exponentially increasing functions

Journal of Inequalities and Applications, 2017
In this article, we study some classes of singular integral equations of convolution type with Cauchy kernels in the class of exponentially increasing functions.
Pingrun Li
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On a class of fractional differential equations for mathematical models of dynamic system with memory

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
Some differential equation with Riemann–Liouville fractional derivatives is considered. The class of these equations are proposed as a model fractional oscillating equation for the description, analysis and investigation of oscillatory processes in ...
Eugeniy Nikolaevitch Ogorodnikov
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Singular Integral Operators and Elliptic Boundary-Value Problems. I

Современная математика: Фундаментальные направления, 2017
The book consists of three Parts I-III and Part I is presented here. In this book, we develop a new approach mainly based on the authors papers. Many results are published here for the first time. Chapter 1 is introductory.
Alexandre P Soldatov
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Solution of second kind integral equation with Cauchy type kernel using Daubechies scale function

Journal of Computational and Applied Mathematics, 2013
A method based on the Daubechies scale function has been devised to solve numerically a class of second kind integral equations with a Cauchy type kernel. The convergence associated to the method has been established. The method is illustrated with integral equations in this class whose exact solutions are known.
Modan Mohan Panja, B. N. Mandal
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Solution of a Cauchy type problem for an integral equation of Volterra type with singular kernels, when the roots of the characteristic equations are complex conjugate

BULLETIN OF THE L.N. GUMILYOV EURASIAN NATIONAL UNIVERSITY. Mathematics. Computer science. Mechanics series
In this paper, we study a two-dimensional Volterra type integral equation with a singularity and a logarithmic singularity for one variable and a strong singularity for another variable. The solution of an integral equation with special kernels in the case when the coefficients of the equation are interconnected is reduced to solving one-dimensional ...
Lutfya Nusratovna Rajabova, Farvariddin Mufazalovich Ahmadov   +1 more
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Methods of numerical solution of singular integral equations with Cauchy-type kernels

, 1983
The direct methods are the most efficient methods of numerical solution of singular integral equations with Cauchy-type kernels, which appear in several physics and engineering problems. Here the fundamental already available recent results concerning these methods, which were found mainly during the last fifteen years, are presented in brief.
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Problems of convergence of the direct methods of numerical solution of singular integral equations with Cauchy-type kernels

, 1982
In this technical report, general directions are given for the proof of the convergence of four direct methods of numerical solution of real Cauchy-type singular integral equations on a finite open interval. The methods under consideration are (i) the Galerkin method, (ii) the collocation method, (iii) the quadrature–collocation method and (iv) the ...
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