Results 1 to 10 of about 15,526 (146)

An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric

open access: yesJournal of Mathematical Analysis and Applications, 2017
19 ...
Ben Berckmoes   +3 more
openaire   +7 more sources

Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions

open access: yesMathematics, 2023
In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and Monch ...
Thitiporn Linitda   +3 more
doaj   +1 more source

On the Solvability of Mixed-Type Fractional-Order Non-Linear Functional Integral Equations in the Banach Space C(I)

open access: yesFractal and Fractional, 2022
This paper is concerned with the existence of the solution to mixed-type non-linear fractional functional integral equations involving generalized proportional (κ,ϕ)-Riemann–Liouville along with Erdélyi–Kober fractional operators on a Banach space C([1,T]
Vijai Kumar Pathak   +3 more
doaj   +1 more source

Erratum to: Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure [PDF]

open access: yesScience China Mathematics, 2019
[1, Theorem 4.4] states that every infinite dimensional Banach space admits a homogenous measure of noncompactness not equivalent to the Hausdorff measure. Howevere, there is a gap in the proof. In fact, we found that [1, Lemma 4.3] is not true. In this erratum, we give a corrected proof of [1, Theorem 4.4].
Ehmet Ablet   +3 more
openaire   +2 more sources

Sequence spaces derived by the triple band generalized Fibonacci difference operator

open access: yesAdvances in Difference Equations, 2020
In this article we introduce the generalized Fibonacci difference operator F ( B ) $\mathsf{F}(\mathsf{B})$ by the composition of a Fibonacci band matrix F and a triple band matrix B ( x , y , z ) $\mathsf{B}(x,y,z)$ and study the spaces ℓ k ( F ( B ) ) $
Taja Yaying   +4 more
doaj   +1 more source

The Wire Is Not the Territory: Understanding Representational Drift in Olfaction With Dynamical Systems Theory

open access: yesTopics in Cognitive Science, EarlyView., 2023
Abstract Representational drift is a phenomenon of increasing interest in the cognitive and neural sciences. While investigations are ongoing for other sensory cortices, recent research has demonstrated the pervasiveness in which it occurs in the piriform cortex for olfaction.
Ann‐Sophie Barwich   +1 more
wiley   +1 more source

Abduction and Deduction in Dynamical Cognitive Science

open access: yesTopics in Cognitive Science, EarlyView., 2023
Abstract This paper reviews the recent history of a subset of research in dynamical cognitive science, in particular that subset that allies itself with the sciences of complexity and casts cognitive systems as interaction dominant, noncomputational, and nonmodular. I look at this history in the light of C.S.
Anthony Chemero
wiley   +1 more source

A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]

open access: yes, 2012
We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain   +2 more
core   +6 more sources

Random trees constructed by aggregation [PDF]

open access: yes, 2016
We study a general procedure that builds random $\mathbb R$-trees by gluing recursively a new branch on a uniform point of the pre-existing tree.
Curien, Nicolas, Haas, Bénédicte
core   +3 more sources

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