Compactness in Groups of Group-Valued Mappings
Mathematics, 2022 We introduce the concepts of extended equimeasurability and extended uniform quasiboundedness in groups of group-valued mappings endowed with a topology that generalizes the topology of convergence in measure.
Diana Caponetti +2 more
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Impulsive Fractional Differential Inclusions and Almost Periodic Waves
Mathematics, 2021 In the present paper, the concept of almost periodic waves is introduced to discontinuous impulsive fractional inclusions involving Caputo fractional derivative.
Gani Stamov, Ivanka Stamova
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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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The Hausdorff measure of noncompactness of matrix operators on some BK spaces [PDF]
Operators and Matrices, 2011 In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c0 and ∞ which have recently been introduced in [On the spaces of λ -convergent and bounded sequences, Thai J. Math. 8(2) (2010) 311–329].
M. Mursaleen, Abdullah K. Noman
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Infinite System of Differential Equations in Some Spaces
Abstract and Applied Analysis, 2012 The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
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Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations
Advances in Difference Equations, 2020 In this paper, we investigate the existence of mild solutions for neutral Hilfer fractional evolution equations with noninstantaneous impulsive conditions in a Banach space.
Pallavi Bedi +3 more
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Cauchy problems for functional evolution inclusions involving accretive operators
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure ...
Tran Ke
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Measure of noncompactness of linear operators between spaces of sequences that are $(\bar{N},q)$ summable or bounded [PDF]
, 1992 summary:In this paper we investigate linear operators between arbitrary BK spaces $X$ and spaces $Y$ of sequences that are $(\bar{N},q)$ summable or bounded.
Rakočević, V. +6 more
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Second order evolution equations with nonlocal conditions
Demonstratio Mathematica, 2017 In this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces.
Benchohra Mouffak +2 more
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Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space
Advances in Difference Equations, 2021 A new sequence space related to the space ℓ p $\ell _{p}$ , 1 ≤ p < ∞ $1\leq ...
Ahmed Salem +2 more
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