Measure of noncompactness of a new space of tempered sequences and its application on fractional differential equations

M Rabbani, A Das, B Hazarika, R Arab - Chaos, Solitons & Fractals, 2020 - Elsevier
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 …

On the solvability of a class of nonlinear functional integral equations involving Erdélyi–Kober fractional operator

VK Pathak, LN Mishra, VN Mishra - Mathematical Methods in …, 2023 - Wiley Online Library
In this paper, utilizing the technique of generalized Darbo's fixed‐point theorem associated
with measure of noncompactness in Banach space, we analyze the existence of solution for …

[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 …

On some generalized non-linear functional integral equations of two variables via measures of noncompactness and numerical method to solve it

M Rabbani, A Deep, Deepmala - Mathematical Sciences, 2021 - Springer
Existence of solution for functional integral equations of two variables is established in this
article under some weaker conditions in a Banach algebra space C (0, b * 0, b, R), b> 0 C (0 …

Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to …

B Hazarika, HM Srivastava, R Arab… - Applied Mathematics and …, 2019 - Elsevier
The aim of this article is to investigate the existence of solution for the nonlinear functional
integral equations with the help of measure of noncompactness, simulation function and …

A numerical method for solvability of some non-linear functional integral equations

A Deep, M Rabbani - Applied Mathematics and Computation, 2021 - Elsevier
In this article, we prove the existence of solution for some non-linear functional integral
equations of two variables in Banach algebra C ([0, b][0, c], R), b, c> 0, which is the …

[HTML][HTML] Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it

B Hazarika, HM Srivastava, R Arab… - Journal of Computational …, 2018 - Elsevier
In this paper we prove existence of solution for infinite system of nonlinear integral equations
in the Banach spaces ℓ p, p> 1 with the help of a technique associated with measure 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)× …

Iterative algorithm and theoretical treatment of existence of solution for (kz)-Riemann–Liouville fractional integral equations

A Das, M Rabbani, SA Mohiuddine… - Journal of Pseudo …, 2022 - Springer
In our discussion, existence of solution for fractional integral equation (FIE) involving (k, z)-
Riemann–Liouville fractional integral is studied. To achieve this goal, first using shifting …

[HTML][HTML] Metric-like spaces to prove existence of solution for nonlinear quadratic integral equation and numerical method to solve it

B Hazarika, E Karapinar, R Arab, M Rabbani - Journal of Computational …, 2018 - Elsevier
The purpose of this paper is to obtain some common fixed point results for two mappings
satisfying various contractive conditions in metric-like spaces. These results extend some …