Results 1 to 10 of about 296 (145)

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
doaj   +2 more sources

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
doaj   +2 more sources

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
doaj   +1 more source

Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule [PDF]

, 1978
summary:The Lobatto-Jacobi numerical integration rule can be extended so as to apply to the numerical evaluation of Cauchy type principal value integrals and the numerical solution of singular intergral equations with Cauchy type kernels by reduction to ...
Theocaris, P. S., Ioakimidis, Nikolaos I.   +1 more
core   +1 more source

A note on the numerical solution of singular integral equations of Cauchy type [PDF]

, 2009
This manuscript presents a method for the numerical solution of the Cauchy type singular integral equations of the first kind, over a finite segment which is bounded at the end points of the finite segment.
M. Abdulkawi, Mahiub, Mohammad Abdulkawi, N. M. A. Nik Long, Z. K. Eshkuvatov, Nik Long, Nik Mohd Asri, Eshkuratov, Zainidin K.   +5 more
core   +1 more source

Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]

, 2009
A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
core   +1 more source

Rarita-Schwinger type operators on spheres and real projective space [PDF]

, 2001
summary:In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions.
Bureš, J., Sommen, Franciscus, Souček, V., Van Lancker, P., Soucek, V, Ryan, John, Bures, J, Li, Junxia, Vanegas, Carmen J., Van Lancker, Peter, Sommen, F.   +10 more
core   +1 more source

SINGULAR INTEGRAL EQUATIONS WITH MULTIPLICATIVE CAUCHY-TYPE KERNELS [PDF]

, 2014
. In this paper we consider singular integral equations of the first kind with multiplicative Cauchy–type kernels defined on n–dimensional domains. We give their general solutions in the class of Hölder continuous functions and propose the statements of ...

core  

New Generalised Semi‐Analytical Approach for the Multidimensional Nonlinear Collisional Fragmentation Equations

International Journal for Numerical Methods in Fluids, EarlyView.
This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav, Ashok Das, Sukhjit Singh, Randhir Singh, Mehakpreet Singh   +4 more
wiley   +1 more source

Approximate solution of singular integral equations

, 2004
An approximate method is developed for solving singular integral equations of the first kind, over a finite interval. The singularity is assumed to be of the Cauchy type, and the four basically different cases of singular integral equations of practical ...
Vanden Berghe, Guido, CHAKRABARTI, A, Berghe, Vanden G, Vanden Berghe, G   +3 more
core   +1 more source