Results 11 to 20 of about 55 (54)

Solution of a fractal energy integral operator without body force using measure of noncompactness

Alexandria Engineering Journal, 2020
In this paper, we study the solution of fractal energy integral equation for one-dimensional compressible flows without body force using measure of noncompactness.
Hemant Kumar Nashine, Rabha W. Ibrahim, Nguyen Huu Can   +2 more
doaj   +1 more source

Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation

Demonstratio Mathematica, 2019
In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach ...
Rehman Habib ur, Gopal Dhananjay, Kumam Poom   +2 more
doaj   +1 more source

New results on nonlocal functional integro-differential equations via Hilfer fractional derivative

Alexandria Engineering Journal, 2020
In this work, the existence of Hilfer fractional integro-differential equations with nonlocal conditions are discussed. To obtain such result, we use Mo¨nch fixed point theorem and the techniques of noncompactness. An application is presented to validate
R. Subashini, K. Jothimani, Kottakkaran Sooppy Nisar, C. Ravichandran   +3 more
doaj   +1 more source

Fixed Point Index for Simulation Mappings and Applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, we construct the fixed point index for a class of contractive mapping defined by a simulation mapping and a measure of noncompact-ness noted by Zµ− contraction maps.
Benmezaï Abdelhamid, Hammache Karima, Melouane Nassima   +2 more
doaj   +1 more source

A measure of non-compactness on T 3½ spaces based on Arzelà-Ascoli type theorem

, 2021
The purpose of this paper is to generalize the measure of non-compactness for the space of continuous functions over the T 3½ space.
Turoboś, Filip
core  

On the existence of solutions of infinite systems of Volterra-Hammerstein-Stieltjes integral equations

Advances in Nonlinear Analysis
In this article, we deal with the solvability of an infinite system of Volterra-Hammerstein-Stieltjes integral equations in the space of continuous and bounded functions defined on R+{{\mathbb{R}}}_{+} with values in the sequence space l1{l}_{1}.
Chlebowicz Agnieszka, Rzepka Beata
doaj   +1 more source

Solvability of an infinite system of integral equations on the real half-axis

Advances in Nonlinear Analysis, 2020
The aim of the paper is to investigate the solvability of an infinite system of nonlinear integral equations on the real half-axis. The considerations will be located in the space of function sequences which are bounded at every point of the half-axis ...
Banaś Józef, Woś Weronika
doaj   +1 more source

Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations

Demonstratio Mathematica
In this work, we prove some fixed point results in generalized Banach spaces (GBS{\mathfrak{G}}{\mathfrak{B}}{\mathfrak{S}}s) in the sense of Perov using the vector degree of nondensifiability tools. The given result generalizes Darbo’s and Krasnoselskii’
Laksaci Noura, Hasan Fady, Boudaoui Ahmed, Mustafa Zead, Shatanawi Wasfi   +4 more
doaj   +1 more source

Solvability of infinite system of integral equations of Hammerstein type in three variables in tempering sequence spaces c0β{c}_{0}^{\beta } and ℓ1β{\ell }_{1}^{\beta }

Demonstratio Mathematica
The objective of this study is to determine the criteria under which the infinite system of integral equations in three variables has a solution in the Banach tempering sequence space c0β{c}_{0}^{\beta } and ℓ1β{\ell }_{1}^{\beta }, utilizing the Meir ...
Simbeye Mesia, Kumar Santosh, Mursaleen M.   +2 more
doaj   +1 more source

A new approach to infinite systems of integral equations in Fréchet function spaces

Advances in Nonlinear Analysis
This paper proposes a more effective method for investigating the solvability of infinite systems of nonlinear integral equations than the approaches based on Banach spaces, which have been employed in a series of publications over the past several years.
Dudek Szymon, Olszowy Leszek
doaj   +1 more source