Fractional dynamic system simulating the growth of microbe. [PDF]
Hadid SB, Ibrahim RW.
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On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric
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
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Analysis of mathematical model involving nonlinear systems of Caputo-Fabrizio fractional differential equation. [PDF]
Kebede SG, Lakoud AG.
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On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. [PDF]
Benedetti I, Obukhovskii V, Taddei V.
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Measures of Noncompactness in Regular Spaces
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.
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Some Properties of Measures of Noncompactness in Paranormed Spaces [PDF]
This paper presents new properties of important measures of noncompactness in paranormed spaces. Using these properties some fixed point theorems for multivalued mappings in general topological vector spaces are obtained in a straightforward way.
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Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces
We study the spaces w0p, wp, and w∞p of sequences that are strongly summable to 0, summable, and bounded with index p≥1 by the Cesàro method of order 1 and establish the representations of the general bounded linear operators from the spaces wp into the ...
E. Malkowsky, A. Alotaibi
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Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces
The new sequence spaces X ( r , s , t ; Δ ) $X(r,s,t;\Delta)$ for X ∈ { l ∞ , c , c 0 } $X\in\{l_{\infty}, c, c_{0}\}$ have been defined by using generalized means and difference operator.
Elahe Abyar, Mohammad Bagher Ghaemi
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On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order. [PDF]
Benkerrouche A +3 more
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Fractional Partial Random Differential Equations with State-Dependent Delay
In the present paper we provide some existence results for the Darboux problem of partial fractional random differential equations with state-dependent delay by applying the measure of noncompactness and a random fixed point theorem with stochastic ...
Benchohra Mouffak, Heris Amel
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