Physiologically structured populations with diffusion and dynamicboundary conditions by József Z. Farkas, Peter Hinow

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On coincidence and common fixed points of nearly densifying mappings by Zeqing Liu, Jeong Sheok Ume

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Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem by Ismail Airou, Ali El Mfadel, Elomari Mhamed

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A Novel Concept of Fuzzy Subsemigroup (Ideal) by Yu-Hong Che, Qi Liu

“…This paper focuses on a generalized definition of fuzzy subsemigroup (ideal) on semigroup. Let L be a completely distributive lattice; we introduce the definition of L-fuzzy ideal and also the novel concept of subsemigroup (ideal) on semigroup. …”
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Dirichlet Forms Constructed from Annihilation Operators on Bernoulli Functionals by Caishi Wang, Beiping Wang

“…Finally, we consider an interesting semigroup of operators associated with w on L2-space of Bernoulli functionals, which we call the w-Ornstein-Uhlenbeck semigroup, and, by using the Dirichlet form, Ew we show that the w-Ornstein-Uhlenbeck semigroup is a Markov semigroup.…”
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On ∼n Notion of Conjugacy in Some Classes of Epigroups by Aftab Hussain Shah, Amal S. Alali, Mohd Rafiq Parray

“…Generalizing the group theoretic notion of conjugacy to semigroups is one of the interesting problems, and semigroup theorists had produced substantial amount of research in this direction. …”
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Positive Solutions for the Initial Value Problem of Fractional Evolution Equations by He Yang, Yue Liang

“…Some existence theorems are obtained under the case that the analytic semigroup is compact and noncompact, respectively. …”
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Central Sets Theorem Near of an Idempotent in Wap-Compactification by Ali Pashapournia, Mohammad Akbari Tootkaboni, Davood Ebrahimi Bagha

“…The aim of this paper is to express and then prove some locally combinatorial concepts near a virtual idempotent by considering the wap-compactification of a semitopological semigroup S. The wap-compactification of a semitopological semigroup S, denoted by Sw, is the collection of all ultrafilters near η∈Sw that forms a compact subsemigroup of βSd, where Sd denotes S as discrete space.…”
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On Decompositions of Matrices over Distributive Lattices by Yizhi Chen, Xianzhong Zhao

“…Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q (n × n, resp.) matrices over L. …”
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Spectral Criteria for Solvability of Boundary Value Problems and Positivity of Solutions of Time-Fractional Differential Equations by Valentin Keyantuo, Carlos Lizama, Mahamadi Warma

“…When A is the generator of a C0-semigroup (T(t))t≥0 on a Banach space X, we obtain an explicit representation of mild solutions of the above problem in terms of the semigroup. …”
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The Cuntz Comparison in the Standard C*-Algebra by Xiaochun Fang, Nung-Sing Sze, Xiao-Ming Xu

“…The Cuntz comparison, introduced by Cuntz in early 1978, associates each C*-algebra with an abelian semigroup which is an invariant for the classification of the nuclear C*-algebras and called the Cuntz semigroup. …”
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On the Abstract Subordinated Exit Equation by Hassen Mejri, Ezzedine Mliki

“…Let ℙ=(𝑃𝑡)𝑡>0 be a 𝐶0-contraction semigroup on a real Banach space ℬ. A ℙ-exit law is a ℬ-valued function 𝑡∈]0,∞[→𝜑𝑡∈ℬ satisfying the functional equation: 𝑃𝑡𝜑𝑠=𝜑𝑡+𝑠, 𝑠,𝑡>0. …”
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Spectral Distribution of Transport Operator Arising in Growing Cell Populations by Hongxing Wu, Shenghua Wang, Dengbin Yuan

“…It is to prove that the transport operator AH generates a C0 semigroup and the ninth-order remainder term R9(t) of the Dyson-Phillips expansion of the semigroup is compact, and the spectrum of transport operator AH consists of only finite isolated eigenvalues with finite algebraic multiplicities in a trip Γω. …”
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Stability Analysis of a Repairable System with Warning Device and Repairman Vacation by Yangli Ren, Lina Guo, Lingling Zhang

“…Further, the asymptotic stability, especially the exponential stability of the system dynamic solution, is studied by using the strongly continuous semigroup theory or C0 semigroup theory. The reliability indices and some applications (such as the comparisons of indices and profit of systems with and without warning device), as well as numerical examples, are presented at the end of the paper.…”
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Positive Solutions for the Initial Value Problems of Fractional Evolution Equation by Yue Liang, Yu Ma, Xiaoyan Gao

“…This paper discusses the existence of positive solutions for the initial value problem of fractional evolution equation with noncompact semigroup , ; in a Banach space , where denotes the Caputo fractional derivative of order , is a closed linear operator, generates an equicontinuous semigroup, and is continuous. …”
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The formal Laplace-Borel transform of Fliess operators and the composition product by Yaqin Li, W. Steven Gray

“…Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide an isomorphism between the semigroup of all Fliess operators under operator composition and the semigroup of all locally convergent formal power series under the composition product. …”
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A Simple Repairable System with Warning Device by Xiao Zhang, Lina Guo

“…Then the unique existence and asymptotic stability, especially the exponential stability of the system dynamic solution, are studied by using the strongly continuous semigroup theory or C0 semigroup theory and the spectrum theory. …”
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A Study of Ordered Ag-Groupoids in terms of Semilattices via Smallest (Fuzzy) Ideals by Venus Amjid, Faisal Yousafzai, Kostaq Hila

“…An ordered AG-groupoid can be referred to as an ordered left almost semigroup, as the main difference between an ordered semigroup and an ordered AG-groupoid is the switching of an associative law. …”
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Asymptotical expansions in the Kubilius theorem of large deviations by Rimantas Skrabutėnas

“… In the present paper, a local theorem of large deviations for arithmetic functions defined in Knopfmacher’s semigroup is obtained. …”
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The effective use of remainder term estimation in the limit theorems by Rimantas Skrabutėnas

“…In the present paper the asymptotic formula under special condition on prime elements of Knopfmacher’s semigroup G is obtained. …”
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