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A NOTE ON A CLASS OF CONVOLUTION INTEGRAL EQUATIONS
LUO, MIN-JIE,RAINA, R.K. The Honam Mathematical Society 2015 호남수학학술지 Vol.37 No.4
This paper considers a class of new convolution integral equations whose kernels involve special functions such as the generalized Mittag-Leffler function and the extended Kummer hypergeometric function. Some basic properties of interconnection with the familiar Riemann-Liouville operators are obtained which are used in fiding the solution of the main convolution integral equation. Several consequences are deduced from the main result by incorporating certain extended forms of hypergeometric functions in our present investigation.
agarwal,Priyanka Harjule,Rashmi Jain 장전수학회 2017 Proceedings of the Jangjeon mathematical society Vol.20 No.3
In this paper, we solve a general Volterra-type fractional equation associated with an integral operator involving a product of general class of polynomials and the multivariable H-function in its Kernel. We make use of convolution technique to solve the main equation.On account of the general nature of multivariable H-function and general class of polynomials, We can obtain a large number of integral equations involving products of several useful polynomials and special functions as its special cases. For the lack of space, we record here only two such special cases which involve the product of general class of polynomials SM N & Appell's function F3 and a general class of polynomials. The main result derived in this paper also generalizes the results obtained by Gupta et. al.[2] and Jain[3, p. 102-103, eq. (3.5),eq.(3.6)]
AN APPROXIMATE SOLUTION OF AN INTEGRAL EQUATION BY WAVELETS
SHIM, HONG TAE,PARK, CHIN HONG 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1
Integral equations occur naturally in many fields of mechanics and mathematical physics. We consider the Fredholm integral equation of the first kind.In this paper we are interested in integral equation of convolution type. We give approximate solution by Meyer wavelets
Shenan, Jamal Mohammed,Salim, Tariq Omar Department of Mathematics 2011 Kyungpook mathematical journal Vol.51 No.3
The aim of this paper is to obtain a solution of a certain multidimensional convolution integral equation of Fredholm type whose kernel involves a generalized polynomial set. A number of results follow as special cases from the main theorem by specifying the parameters of the generalized polynomial set.
TROTTER-KATO TYPE APPROXIMATIONS OF CONVOLUTED SOLUTION OPERATOR FAMILIES
Kim, Mi-Hi Korean Mathematical Society 2004 대한수학회논문집 Vol.19 No.2
Trotter-Kato type approximations of the convoluted solution operator families for the Volterra integral equations (V $E_n$): v(t)=$A_{n} \int_0^t v(t-s) d\mu_n(s) + f_n(t), t \geq 0$ and the convergence of the solutions to the equations (V $E_n$) are studied.
Cho, Yong-Joo,Koo, Young-Pil,Kim, Tae-Wan The Korean Society of Mechanical Engineers 2000 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.14 No.3
A numerical procedure for contact analysis and calculating subsurface stress was developed. The procedure takes the advantage of signal processing technique in frequency domain to achieve shorter computing time. Boussinesq's equation was adopted as a response function in contact analysis. The validity of this procedure was proved by comparing the numerical results with the exact solutions. The fastness of this procedure was also compared with other algorithm.