Results 31 to 40 of about 194,262,804 (90)

Spectral radius of S-essential spectra

open access: yesМатематичні Студії, 2020
In this paper, we study the spectral radius of some S-essential spectra of a bounded linear operator defined on a Banach space. More precisely, via the concept of measure of noncompactness,we show that for any two bounded linear operators $T$ and $S ...
C. Belabbaci
doaj   +1 more source

The 𝑒-positive mild solutions for fractional impulsive evolution equations with 1 < 𝛼 < 2

open access: yesCQD Revista Eletrônica Paulista de Matemática, 2022
In this paper, we investigate the existence of global 𝑒-positive mild solutions for impulsive evolution fractional differential equation in the Caputo sense of order 1 < 𝛼 < 2.
Jorge Féres Junior   +2 more
doaj  

Generalized fractals in semimetric spaces [PDF]

open access: yes, 2022
The aim of the present paper is to extend the classical fractal theory using condensing maps and generalized contractions of semimetric spaces.
Pénzes, Evelin, Bessenyei, Mihály
core   +1 more source

Second Order Semilinear Volterra-Type Integro-Differential Equations with Non-Instantaneous Impulses

open access: yesMathematics, 2019
We consider a non-instantaneous system represented by a second order nonlinear differential equation in a Banach space E. We use the family of linear bounded operators introduced by Kozak, Darbo fixed point method and Kuratowski measure of noncompactness.
Mouffak Benchohra   +3 more
doaj   +1 more source

ON KURATOWSKI MEASURE OF NONCOMPACTNESS IN R 2 WITH THE RIVER METRIC

open access: yes, 2020
In this paper we onsider some properties of the Kuratowski measure of noncompatness on the space (R2 , d* ), where d* is river metric. We prove the existence of the α-minimal sets in the given space, but also the strict minimalizability of the Kuratowski
Reki¢-Vukovi¢, Amra, OKICIC, NERMIN
core   +1 more source

Solvability of Tripled Langevin Fractional Differential Systems Involving ψ‐Caputo Derivatives Using Fixed Point Techniques

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This work is devoted to the study of a nonlinear tripled system of Langevin‐type fractional differential equations involving generalized ψ‐Caputo derivatives in the setting of Banach spaces. The proposed framework extends several existing results from finite‐dimensional and specialized functional spaces to more general infinite‐dimensional environments.
Hasanen A. Hammad   +2 more
wiley   +1 more source

Investigating Mild Solutions for Noninstantaneous Impulsive Caputo Fractional Integro‐Differential Equations

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, the existence of mild solutions for a class of noninstantaneous impulsive Caputo fractional integro‐differential equations subject to nonlocal conditions in Banach spaces is investigated. The problem is formulated in a general infinite‐dimensional setting so that systems involving memory effects and impulses acting over finite intervals ...
Hasanen A. Hammad   +2 more
wiley   +1 more source

Exact and Approximate Controllability for Backward Fractional Integro‐Differential Equations With History‐Dependent Operators

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper is devoted to the analysis of controllability for a class of backward fractional integro‐differential equations involving history‐dependent operators, which arise naturally in systems with memory effects. The study begins with the formulation of an appropriate functional framework, within which the concept of approximate controllability is ...
Ghadah Albeladi   +2 more
wiley   +1 more source

Existence and Approximate Solutions for Nonlinear Systems of Tripled‐Variable Fractional Singular Volterra Integral Equations Under Measure of Noncompactness

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This work introduces an innovative analytical framework for studying finite systems of nonlinear tripled‐variable fractional singular Volterra integral equations in the Banach space. The investigation combines the technique of measures of noncompactness with fixed point theorem to establish new solvability criteria for highly nonlinear finite ...
Hasanen A. Hammad   +2 more
wiley   +1 more source

Optimal Controls of Second‐Order Delayed Differential Systems Governed by Clarke Subdifferential and History‐Dependent Hemivariational Inequalities

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates the existence of mild solutions and optimal controls for a class of second‐order delayed neutral nonautonomous evolution systems involving hemivariational inequalities, history‐dependent operators, and Clarke′s generalized subdifferential in Hilbert spaces. The novelty of the proposed framework lies in the simultaneous treatment
Hasanen A. Hammad   +3 more
wiley   +1 more source

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