scholarly journals A convolution integral equation solved by Laplace transformations

1985 ◽  
Vol 12-13 ◽  
pp. 609-613 ◽  
Author(s):  
N.M. Temme
Keyword(s):  
Integral Equation ◽  
Convolution Integral ◽  
Convolution Integral Equation ◽  
Laplace Transformations

scholarly journals The product of generalized polynomials sets pertaining to a class of convolution integral equations

2009 ◽  
Vol 42 (3) ◽  
Author(s):  
V. B. L. Chaurasia ◽  
Mukesh Agnihotri
Keyword(s):  
Integral Equation ◽  
Integral Equations ◽  
Mellin Transform ◽  
Convolution Integral ◽  
Generalized Polynomials ◽  
Fredholm Type ◽  
Convolution Integral Equation ◽  
Convolution Integral Equations

AbstractThe purpose of this paper is to obtain a certain class of convolution integral equation of Fredholm type with the product of two generalized polynomials sets. Using of the Mellin transform technique; we have established solution of the integral equation.

scholarly journals Convolution integral equation of Fredholm type with certain trancedental functions

2008 ◽  
Vol 39 (3) ◽  
pp. 227-237
Author(s):  
V. B. L. Chaurasia ◽  
Vishal Saxena
Keyword(s):  
Integral Equation ◽  
Fractional Integral ◽  
Special Function ◽  
Integral Operators ◽  
Convolution Integral ◽  
Fredholm Type ◽  
Fractional Integral Operators ◽  
Convolution Integral Equation ◽  
Weyl Fractional Integral

The aim of this paper is to establish a solution of a certain class of convolution integral equation of Fredholm type whose kernel involve certain product of special function by using Riemann-Liouville and Weyl fractional integral operators. Some interesting particular cases are also considered.

The linear canonical Hankel type transformations associated with translation and convolution

2021 ◽  
pp. 2250114
Author(s):  
B. B. Waphare
Keyword(s):  
Integral Equation ◽  
Parabolic Equation ◽  
Nonlinear Parabolic Equation ◽  
Convolution Integral ◽  
Hankel Transformation ◽  
Convolution Integral Equation ◽  
Nonlinear Parabolic

This paper is the study of Hankel type translation and Hankel type convolution for linear canonical Hankel type transformations. In this paper, I have studied some inequalities associated with Hankel type translation and Hankel type convolution. Also, I have studied some applications of linear canonical Hankel transformation to a canonical convolution integral equation and a generalized nonlinear parabolic equation.

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