A Family of Measures of Noncompactness in the Space and its Application to Some Nonlinear Volterra Integral Equation

L Olszowy - Mediterranean Journal of Mathematics, 2014 - Springer
The aim of this paper is to study a new family of measures of noncompactness in the space
L^ 1_ loc (R _+) L loc 1 (R+) consisting of all real functions locally integrable on R _+ R+ …

[PDF][PDF] Homotopy perturbation method and convergence analysis for the linear mixed Volterra-Fredholm integral equations

PMA Hasan, NA Sulaiman - Iraqi Journal of Science, 2020 - iasj.net
In this paper, the homotopy perturbation method is presented for solving the second kind
linear mixed Volterra-Fredholm integral equations. Then, Aitken method is used to …

[PDF][PDF] On the existence of solutions of a perturbed functional integral equation in the space of Lebesgue Integrable functions on R+

W Al Sayed, MA Darwish - Journal of Mathematics and …, 2018 - journals.prz.edu.pl
In this paper, we investigate and study the existence of solutions for perturbed functional
integral equations of convolution type using Darbo's fixed point theorem, which is associated …

Integrable Solutions of a Nonlinear Integral Equation via Noncompactness Measure and Krasnoselskii′ s Fixed Point Theorem

M Bousselsal, SH Jah - International Journal of Analysis, 2014 - Wiley Online Library
We study the existence of solutions of a nonlinear Volterra integral equation in the space L1
[0,+∞). With the help of Krasnoselskii's fixed point theorem and the theory of measure of …

Nonincreasing solutions of a functional integral equation with Carathéodory perturbed

MA Darwish, K Sadarangani - Mediterranean Journal of Mathematics, 2015 - Springer
A technique associated with measures of weak noncompactness and measures of
noncompactness in strong sense is used to prove an existence result for a functional integral …

Construction of compact-integral operators on with application to the solvability of functional integral equations

R Allahyari, R Arab, AS Haghighi - Bulletin of the Belgian …, 2015 - projecteuclid.org
In this article, using the concept of measure of noncompactness, we give some results
concerning the compactness and continuity of the nonlinear Volterra and Fredholm integral …

[PDF][PDF] ZANCO Journal of Pure and Applied Sciences

L Polynomials - pdfs.semanticscholar.org
In this paper, numerical solution of linear mixed Volterra-Fredholm integral equations of the
second kind by using trigonometric functions and Laguerre polynomials approximation …