Results 91 to 100 of about 605 (180)

Applications of measures of noncompactness to infinite system of fractional differential equations [PDF]

, 2017
In this paper, we discuss few existence result for solution of an infinite system of fractional differential equations of order ?(1 < ? < 2), with three point boundary value problem in the interval [0, T].
Syed Rizvi, Bilal Bilalov, Mohammad Mursaleen   +2 more
core   +1 more source

An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions

Abstract and Applied Analysis, 2011
We study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X. An existence result on the mild solution is obtained by using the theory of the measures
Fang Li, Gaston M. N'Guérékata
doaj   +1 more source

Solvability of a fractional hybrid initial value problem with supremum by using measures of noncompactness in Banach algebras [PDF]

, 2013
In this paper, we study the existence of solutions for the following fractional hybrid initial value problem with supremumD0 + αx(t) f(t,x(t),max0 ≤τ≤t |x(τ)|)=g(t,x(t ...
Sadarangani, Kishin, Caballero, Josefa, Darwish, Mohamed Abdalla   +2 more
core   +1 more source

Asymptotic behavior of solutions to functional integral equation with deviating arguments

Electronic Journal of Differential Equations, 2008
This article presents results on the existence and asymptotic behavior of solutions of a functional integral equation with deviating arguments. The proof of our main result uses the classical Schauder fixed point theorem and the technique of measures
Krishnan Balachandran, M. Diana Julie
doaj  

Measure of noncompactness for nonlinear Hilfer fractional differential equation with mixed fractional integral boundary conditions in Banach space

Journal of Innovative Applied Mathematics and Computational Sciences, 2022
The aim of this work is to study the existence of solutions to a class of fractional differential equations with a mixed of fractional integral boundary conditions involving the Hilfer fractional derivative.
Maamar Benbachir, Abdelatif Boutiara
doaj  

Existence of solutions for infinite systems of differential equations in spaces of tempered sequences

Electronic Journal of Differential Equations, 2017
The aim of this article is to study the existence of solutions for infinite systems of differential equations. We look for solutions in Banach tempered sequence spaces, using techniques associated with measures of noncompactness, and results from ...
Jozef Banas, Monika Krajewska
doaj  

Existence and asymptotic stability of continuous solutions for integral equations of product type

Journal of Innovative Applied Mathematics and Computational Sciences, 2021
In this paper, we study the existence of a continuous solution for a nonlinear integral equation of a product type. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem.
Mahmoud Bousselsal, Azzeddine Bellour
doaj  

Measures of Noncompactness in Regular Spaces

Canadian Mathematical Bulletin, 2014
AbstractPrevious results by the author on the connection between three measures of noncompactness obtained for Lp are extended to regular spaces of measurable functions. An example is given of the advantages of some cases in comparison with others. Geometric characteristics of regular spaces are determined.
openaire   +2 more sources

Measures of weak noncompactness, nonlinear Leray-Schauder alternatives in Banach algebras satisfying condition (P) and an application [PDF]

, 2016
In this paper, we establish some new nonlinear Leray-Schauder alternatives for the sum and the product of weakly sequentially continuous operators in Banach algebras satisfying certain sequential condition (P).
Ali, Amro Alsheikh, Amar, Afif Ben
core  

Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem

Journal of Function Spaces, 2014
Using the technique of measures of noncompactness and, in particular, a consequence of Sadovskii’s fixed point theorem, we prove a theorem about the existence and asymptotic stability of solutions of a functional integral equation.
Agnieszka Chlebowicz, Mohamed Abdalla Darwish, Kishin Sadarangani   +2 more
doaj   +1 more source