The aim of this article is to prove the existence of solution for nonlinear quadratic integral
equations using the generalized form of Darbo fixed point theorem with the help of measure …

The article is to study singular integro-differential equations involving convolutional
operators and Cauchy integral operators via Riemann–Hilbert problem. To do this, we adopt …

This paper discusses two efficient collocation methods for solving the Hammerstein integral
equations on the semi-infinite domain, where the underlying solutions decay to zero at …

This article deals with one class of singular integral-differential equations of non-normal type
with convolution and Cauchy principal value integral in class {0}. By using Fourier transform …

In this article, we study non-normal type singular integral–differential equations involving
convolution kernel and Cauchy kernel in class {0}, and we prove the existence of solutions …

This article deals with the solvability and explicit solutions of one class of singular integral
equations with two convolution kernels in the non-normal type case. Via using techniques of …

A new measure of noncompactness (Mnc) and Darbo fixed point theorem are utilized on the
space L∞(ℝ+) to prove the existence of solution for functional Volterra–Fredholm integral …

In this article, we investigate a class of linear complete singular integro-differential equations
of convolution type with Fredholm integral operator in the function class {0}. To prove the …

The goal in this paper is to prove an existence theorem for the solutions of a class of
functional integral equations which contain a number of classical nonlinear integral …

Sufficient conditions for the existence of at least one solution of a nonlinear integral equation
with a general kernel are established. The existence result is proved in C ([0, T], E), where E …