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 …
A Deep, B Hazarika - Chaos, Solitons & Fractals, 2021 - Elsevier
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 …
A Deep, R Ezzati - Applied Mathematics and Computation, 2021 - Elsevier
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 …
M Kazemi, A Deep, J Nieto - Mathematical Methods in the …, 2023 - Wiley Online Library
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 …