[HTML][HTML] Existence of solution for two dimensional nonlinear fractional integral equation by measure of noncompactness and iterative algorithm to solve it

M Rabbani, A Das, B Hazarika, R Arab - Journal of Computational and …, 2020 - Elsevier
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 …

An existence result for Hadamard type two dimensional fractional functional integral equations via measure of noncompactness

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 …

[HTML][HTML] An extension of Darbo's fixed point theorem for a class of system of nonlinear integral equations

A Deep, Deepmala, J Rezaei Roshan, KS Nisar… - Advances in Difference …, 2020 - Springer
We introduce an extension of Darbo's fixed point theorem via a measure of noncompactness
in a Banach space. By using our extension we study the existence of a solution for a system …

Solvability of fractional integral equations via Darbo's fixed point theorem

BC Deuri, A Das - Journal of Pseudo-Differential Operators and …, 2022 - Springer
Solvability of fractional integral equations via Darbo’s fixed point theorem | Journal of
Pseudo-Differential Operators and Applications Skip to main content SpringerLink Account Menu …

Hermite–Hadamard Type Inequalities for Coordinated Quasi-Convex Functions via Generalized Fractional Integrals

M Vivas-Cortez, S Kermausuor… - Fixed Point Theory and …, 2022 - Springer
In this research, we used a generalized fractional integral to create a new Hermite–
Hadamard-type integral inequality for functions of two independent variables that are quasi …

[HTML][HTML] Solvability for generalized nonlinear two dimensional functional integral equations via measure of noncompactness

S Singh, B Singh, KS Nisar, AA Hyder… - Advances in Difference …, 2021 - Springer
In this article, we provide the existence result for functional integral equations by using
Petryshyn's fixed point theorem connecting the measure of noncompactness in a Banach …

Coupled fixed point theorems in partially ordered metric spaces via mixed g-monotone property

B Hazarika, R Arab, P Kumam - Journal of Fixed Point Theory and …, 2019 - Springer
In this paper we study some coupled fixed point theorems and coupled coincidence fixed
point theorems for infinite family mappings satisfying different contractive conditions on the …

Dynamic local and nonlocal initial value problems in Banach spaces

S Tikare, M Bohner, B Hazarika, RP Agarwal - Rendiconti del Circolo …, 2021 - Springer
The objective of this paper is to study the existence of solutions for two classes of dynamic
initial value problems in Banach spaces. Our approach is based on the concept of measure …

The existence of a solution to more general proportional forms of fractional integrals via a measure of noncompactness

BC Deuri, A Das - International Journal of Nonlinear Analysis and …, 2023 - ijnaa.semnan.ac.ir
The existence of a solution to more general proportional forms of fractional integrals via a
measure of noncompactness Page 1 Int. J. Nonlinear Anal. Appl. 14 (2023) 10, 117–125 ISSN …

Modified version of fixed point theorems and their applications on a fractional hybrid differential equation in the space of continuous tempered functions

S Deb, A Das - Journal of Pseudo-Differential Operators and …, 2023 - Springer
This article contains modified version of fixed point theorems with the help of freshly made
contraction operators and the solvability of a fractional hybrid differential equation involving …