This paper is concerned with the numerical identification of the piecewise constant
permeability function for a nonlinear diffusion equation within the two-phase porous media …

The purpose of this article is to introduce a new tempered sequence space and obtain the
measure of noncompactness in this space. Using the measure of noncompactness and …

In this article, we establish the existence of solution for two dimensional nonlinear fractional
integral equation using fixed point theorem and measure of noncompactness. Applicability …

In this article, we work on the existence of solution of generalized fractional integral
equations of two variables. To achieve our main objective, we establish a new fixed point …

In the current article we obtain the extension of Darbo's fixed point theorem (DFPT), and
apply this theorem to prove the existence of solution of an infinite system of implicit fractional …

In this research, an efficient scheme is presented to validate the numerical results and solve
the second kind integral equations (IEs). For this reason the homotopy perturbation method …

Two concepts—one of Darbo‐type theorem and the other of Banach sequence spaces—
play a very important and active role in ongoing research on existence problems. We first …

The aim of this work is to give some fixed point results based on the technique of measure of
noncompactness which extend the classical Darbo's theorem. With the help of our Darbo …

This paper deals with the existence of solutions for the Riemann-Liouville fractional order
boundary value problem with infinite-point boundary conditions posed on half-line via the …

In this manuscript, a new fixed point theorem (FTP) involving the measure of
noncompactness is discussed. This new FTP is a generalization of Darbo's FTP in Banach …