Results 21 to 30 of about 165,981,238 (172)
Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces
Journal of Inequalities and Applications, 2016 In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi +2 more
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Existence Results for Fractional Integral Equations in Frechet Spaces
Journal of Mathematical Sciences and Modelling, 2022 The objective of this paper is to present results on the existence of solutions for a class of fractional integral equations in Fr\'{e}chet spaces of Banach space-valued functions on the unbounded interval.
Said Baghdad
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Reza Allahyari +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper we analyze the existence of bounded solutions for a nonlinear second-order neutral difference equation, which is more general than other equations of this type studied recently.
Gonzalo García
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Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces [PDF]
Mathematica Bohemica, 2017 We consider a nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in a Banach space. The existence of at least one solution is proved by using the set-valued analog of Mönch fixed point theorem ...
Djamila Seba
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پژوهشهای ریاضی, 2021 In this paper, we introduce a Fréchet space and define a measure of noncompactness on it. For credit and the application to our theorems, in the application section of this paper, we present a theorem which shows the existence of solution of infinite ...
Hogat Allah Amiri kayvanloo +2 more
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Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2010 The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions.
Mouffak Benchohra +2 more
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Remarks on Various Measures of Noncompactness
Journal of Mathematical Analysis and Applications, 1993 Let \(\Omega\) be a bounded set in a metric space \(M\). Denote \(\alpha(\Omega)=\inf\{d>0:\Omega\text{ can be covered by a finite number of sets of diameter at most }d\},\) \(\beta(\Omega)=\inf\{d>0:\Omega\text{ has a finite } d\text{-net in }M\},\) \(\delta(\Omega)=\sup\{\alpha(\Omega'):\Omega'\subseteq\Omega\text{ and } \Omega'\text{ is an } \alpha ...
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On modulus of noncompact convexity for a strictly minimalizable measure of noncompactness
Gulf Journal of Mathematics, 2014 In this paper we consider modulus of noncompact convexity ΔX,φ associated with the strictly minimalizable measure of noncompactness φ. We also give some its properties and show its continuity on the interval [0, φ(BX)).
Rekic-Vukovic, Amra +2 more
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A POINT OF VIEW ON MEASURES OF NONCOMPACTNESS
Demonstratio Mathematica, 1993 The author presents a general scheme of construction of measures of noncompactness and an example of application in the theory of nonlinear differential equations.
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