[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 …

Some new generalization of Darbo's fixed point theorem and its application on integral equations

A Das, B Hazarika, P Kumam - Mathematics, 2019 - mdpi.com
In this article, we propose some new fixed point theorem involving measure of
noncompactness and control function. Further, we prove the existence of a solution of …

Existence of solution for non-linear functional integral equations of two variables in Banach algebra

HM Srivastava, A Das, B Hazarika, SA Mohiuddine - symmetry, 2019 - mdpi.com
The aim of this article is to establish the existence of the solution of non-linear functional
integral equations x (l, h)= U (l, h, x (l, h))+ F l, h,∫ 0 l∫ 0 h P (l, h, r, u, x (r, u)) drdu, x (l, h)× …

Existence of solutions of infinite systems of differential equations of general order with boundary conditions in the spaces c0 and 1 via the measure of …

HM Srivastava, A Das, B Hazarika… - … methods in the …, 2018 - Wiley Online Library
The aim of this paper is to obtain existence results for an infinite system of differential
equations of order n with boundary conditions in the Banach spaces c 0 and ℓ 1 with the …

Application of measures of noncompactness to the infinite system of second-order differential equations in spaces

SA Mohiuddine, HM Srivastava, A Alotaibi - Advances in Difference …, 2016 - Springer
In this article, we use the technique based upon measures of noncompactness in
conjunction with a Darbo-type fixed point theorem with a view to studying the existence of …

Application of measure of noncompactness for solvability of the infinite system of integral equations in two variables in

A Das, B Hazarika, M Mursaleen - Revista de la Real Academia de …, 2019 - Springer
Application of measure of noncompactness for solvability of the infinite system of integral
equations in two variables in $$\ell _{p}\left( 1<p< \infty \right) $$ | Revista de la Real Academia …

Applications of measure of noncompactness and operator type contraction for existence of solution of functional integral equations

B Hazarika, R Arab, M Mursaleen - Complex Analysis and Operator Theory, 2019 - Springer
The objective of this paper is to study the existence of solution of functional integral
equations using a measure of noncompactness argument combined with generalized …

Solvability of nonlinear quadratic integral equation by using simulation type condensing operator and measure of noncompactness

M Rabbani, R Arab, B Hazarika - Applied Mathematics and Computation, 2019 - Elsevier
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 …

Darbo type fixed and coupled fixed point results and its application to integral equation

HK Nashine, R Arab, RP Agarwal… - Periodica Mathematica …, 2018 - Springer
We propose two new notion of contraction mappings involving measure of noncompactness
in the frame work of Banach space and derive some basic Darbo type fixed and coupled …

[HTML][HTML] Solvability of the infinite system of integral equations in two variables in the sequence spaces c0 and ℓ1

A Das, B Hazarika, R Arab, M Mursaleen - Journal of Computational and …, 2017 - Elsevier
Solvability of the infinite system of integral equations in two variables in the sequence spaces
c0 and ℓ1 - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …