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 …

A survey on measures of noncompactness with some applications in infinite systems of differential equations

M Mursaleen, V Rakočević - Aequationes mathematicae, 2022 - Springer
A survey on measures of noncompactness with some applications in infinite systems of
differential equations | SpringerLink Skip to main content Advertisement SpringerLink Log in …

Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space

A Salem, HM Alshehri, L Almaghamsi - Advances in Difference Equations, 2021 - Springer
A new sequence space related to the space ℓ p ℓ_p, 1≤ p<∞ 1≦p<∞ (the space of all
absolutely p-summable sequences) is established in the present paper. It turns out that it is …

Solvability of functional-integral equations (fractional order) using measure of noncompactness

R Arab, HK Nashine, NH Can, TT Binh - Advances in Difference Equations, 2020 - Springer
We investigate the solutions of functional-integral equation of fractional order in the setting of
a measure of noncompactness on real-valued bounded and continuous Banach space. We …

New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations

S Deb, H Jafari, A Das, V Parvaneh - Journal of Inequalities and …, 2023 - Springer
New fixed point theorems via measure of noncompactness and its application on fractional
integral equation involving an operator with iterative relations | Journal of Inequalities and …

An Infinite System of Fractional Order with p-Laplacian Operator in a Tempered Sequence Space via Measure of Noncompactness Technique

A Salem, L Almaghamsi, F Alzahrani - Fractal and Fractional, 2021 - mdpi.com
In the current study, a new class of an infinite system of two distinct fractional orders with p-
Laplacian operator is presented. Our mathematical model is introduced with the Caputo …

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 …

Some fixed point theorems via measure of noncompactness with applications to differential equations

S Banaei, M Mursaleen, V Parvaneh - Computational and Applied …, 2020 - Springer
In this article, we prove some Darbo's type fixed point theorems associated with measure of
noncompactness via the concept of operators A (f;.) and weakly JS-contractive condition in …

[PDF][PDF] Solvability of infinite systems of fractional differential equations in the spaces of tempered sequences

A Das, B Hazarika, RP Agarwal, HK Nashine - Filomat, 2019 - doiserbia.nb.rs
In this paper we discuss the existence of solution of infinite systems of fractional differential
equations with the help of Hausdorff measure of noncompactness and Meir-Keeler fixed …

Existence of an infinite system of fractional hybrid differential equations in a tempered sequence space

A Das, B Hazarika, BC Deuri - Fractional Calculus and Applied Analysis, 2022 - Springer
In this article, the existence of the solution of infinite system of fractional hybrid differential
equations with initial conditions by reducing them to integral equations in the space C (I, m …