This article concerning to initiate the existence of solutions via fixed point technique for: 1.
The Atangana–Baleanu Willis Aneurysm System {0 AB D tn 1 p= q 0 AB D tn 2 q= F cos …

In this work, we examine the solvability of non-linear 2D Volterra integral equations through
Petryshyn fixed point theorem in Banach space C ([0, c]×[0, d]). Our work covers many …

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 investigate the existence of solutions for Hadamard type two dimensional
fractional functional integral equations on [1, b]×[1, c]. We use the concept of measure of non …

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 article, we establish the existence of solution for some functional integral equations by
Petryshyn's fixed point theorem in Banach algebra. Our existence results cover several …

Here, in this article, we study some existence results of monotonic integrable solutions for a
nonlinear hybrid implicit functional differential inclusion of arbitrary fractional orders. We …

In this article, we apply Fourier transform to convert a nonlinear problem to a suitable
equation and then we introduce a modified homotopy perturbation to divide the above …

By utilizing the technique of Petryshyn's fixed point theorem in Banach algebra, we examine
the existence of solutions for fractional integral equations, which include as special cases of …