Results 81 to 90 of about 165,963,646 (184)

Controllability problem for fractional impulsive integrodifferential evolution systems of mixed type with the measure of noncompactness

open access: yesResults in Nonlinear Analysis, 2020
We consider the controllability problem for a class of fractional impulsive evolution systems of mixed type in an infinite dimensional Banach space. The existence of mild solutions and controllability results are discussed by a new estimation technique
Duraisamy Senthil Raja, Ponnusamy Sundararajan, Kulandhaivel Karthikeyan
doaj  

On matrix transformations and Hausdorff measure of noncompactness of Euler difference sequence spaces of fractional order

open access: yes, 2021
In the present paper, some results on matrix mappings and Hausdorff measure of noncompactness of certain generalized Euler difference sequence spaces of fractional order are discussed.
Kadak, Ugur, Baliarsingh, P.
core  

Convergence Theorems and Measures of Noncompactness for Noncompact Urysohn Operators in Ideal Spaces

open access: yesJournal of Integral Equations and Applications, 2004
The author considers the following nonlinear integral equation of Urysohn type \[ A(f)x(t):= \int_S f(t, s,x(s))\,ds,\quad t\in T, \] where the integral is in the Bochner sense. He establishes an estimate for the measure of noncompactness of the Urysohn operator and proves a convergence theorem for a sequence of simpler Urysohn operators which are ...
openaire   +2 more sources

Existence of Weak Solutions for Fractional Integrodifferential Equations with Multipoint Boundary Conditions

open access: yesInternational Journal of Differential Equations, 2018
By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.
Haide Gou, Baolin Li
doaj   +1 more source

Measures of noncompactness and their applications

open access: yes, 2021
The measures of noncompactness are very useful tools in the theory of operatorequations in Banach spaces. In particular, the fixed point theorems derived fromthem have many important results. In this study, we state a general information onmeasures of noncompactness and fixed point theory. In addition, applications fromvarious topics are presented.
openaire   +1 more source

Existence Results for an Impulsive Neutral Fractional Integrodifferential Equation with Infinite Delay

open access: yesInternational Journal of Differential Equations, 2014
We consider an impulsive neutral fractional integrodifferential equation with infinite delay in an arbitrary Banach space X. The existence of mild solution is established by using solution operator and Hausdorff measure of noncompactness.
Alka Chadha, Dwijendra N. Pandey
doaj   +1 more source

On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric

open access: yesJournal of Inequalities and Applications, 2016
We quantify the Prokhorov theorem by establishing an explicit formula for the Hausdorff measure of noncompactness (HMNC) for the parameterized Prokhorov metric on the set of Borel probability measures on a Polish space.
Ben Berckmoes
doaj   +1 more source

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