Solvability of generalized fractional order integral equations via measures of noncompactness

A Das, B Hazarika, V Parvaneh, M Mursaleen - Mathematical Sciences, 2021 - Springer
In this article, we work on the existence of solution of generalized fractional integral
equations of two variables. To achieve our main objective, we establish a new fixed point …

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 …

An existence result for an infinite system of implicit fractional integral equations via generalized Darbo's fixed point theorem

A Das, B Hazarika, SK Panda… - Computational and Applied …, 2021 - Springer
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 …

Existence of a solution to an infinite system of weighted fractional integral equations of a function with respect to another function via a measure of noncompactness

A Das, M Paunović, V Parvaneh… - Demonstratio …, 2023 - degruyter.com
In this article, some new generalizations of Darbo's fixed-point theorem are given and the
solvability of an infinite system of weighted fractional integral equations of a function with …

Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo‐Type Theorem

SA Mohiuddine, A Das, A Alotaibi - Journal of Function Spaces, 2022 - Wiley Online Library
Two concepts—one of Darbo‐type theorem and the other of Banach sequence spaces—
play a very important and active role in ongoing research on existence problems. We first …

[HTML][HTML] Existence of solutions for an infinite system of Hilfer fractional boundary value problems in tempered sequence spaces

I Haque, J Ali, M Mursaleen - Alexandria Engineering Journal, 2023 - Elsevier
This article aims to study the existence of the solutions to the infinite system of Hilfer
fractional differential equations in tempered sequence spaces. We look for a solution in …

[HTML][HTML] Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces

A Das, SA Mohiuddine, A Alotaibi, BC Deuri - Alexandria Engineering …, 2022 - Elsevier
The aim of this work is to give some fixed point results based on the technique of measure of
noncompactness which extend the classical Darbo's theorem. With the help of our Darbo …

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 …

On solution of generalized proportional fractional integral via a new fixed point theorem

A Das, I Suwan, BC Deuri, T Abdeljawad - Advances in Difference …, 2021 - Springer
The aim of this paper is the solvability of generalized proportional fractional (GPF) integral
equation at Banach space E E. Herein, we have established a new fixed point theorem …

Solvability of an infinite system of fractional differential equations with p-Laplacian operator in a new tempered sequence space

M Mursaleen, E Savaş - Journal of Pseudo-Differential Operators and …, 2023 - Springer
In this article, an infinite system of three point boundary value problem of p-Laplacian
operator is considered for the existence of solution in a new sequence space related to the …