{"title":"EXISTENCE AND ASYMPTOTIC BEHAVIOR OF TRAVELING WAVES IN A HOST-VECTOR EPIDEMIC MODEL","authors":"Xijun Deng, Aiyong Chen","doi":"10.11948/20180197","DOIUrl":"https://doi.org/10.11948/20180197","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"50 1","pages":"602-613"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73781422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"NEW EXISTENCE, UNIQUENESS RESULTS FOR MULTI-DIMENSIONAL MULTI-TERM CAPUTO TIME-FRACTIONAL MIXED SUB-DIFFUSION AND DIFFUSION-WAVE EQUATION ON CONVEX DOMAINS","authors":"Pratibha Verma, M. Kumar","doi":"10.11948/20200217","DOIUrl":"https://doi.org/10.11948/20200217","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"16 1","pages":"1455-1480"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88023878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we study the Raǐkov completion of invariant fuzzy metric groups and complete fuzzy metric semigroups (in the sense of Kramosil and Michael). We establish that: (1) if ( G, M, ∗ ) is a fuzzy metric group such that ( M, ∗ ) is invariant, then the Raǐkov completion ϱG of ( G, τ M ) is a fuzzy metric group ( ϱG, f M, ∗ ) such that ( f M, ∗ ) is invariant on ϱG and f M | G × G × [0 , ∞ ) = M ; (2) if ( G, M, ∗ ) is a fuzzy metric semigroup such that ( M, ∗ ) is invariant, then a fuzzy metric completion ( e G, f M, ∗ ) of ( G, M, ∗ ) is a fuzzy metric semigroup and ( f M, ∗ ) is invariant.
本文研究了不变模糊度量群和完全模糊度量半群(在Kramosil和Michael意义上)的Raǐkov补齐性。我们证明:(1)如果(G, M，∗)是一个模糊度量群使得(M，∗)是不变的，那么(G， τ M)的Raǐkov补全ϱG是一个模糊度量群(ϱG, f M，∗)使得(f M，∗)在ϱG上是不变的并且f M | G × G ×[0，∞)= M;(2)如果(G, M，∗)是一个模糊度量半群，使得(M，∗)是不变的，则(G, M，∗)的模糊度量补全(G, f M，∗)是一个模糊度量半群并且(f M，∗)是不变的。
{"title":"COMPLETE INVARIANT FUZZY METRICS ON SEMIGROUPS AND GROUPS","authors":"Jin-Ji Tu, L. Xie","doi":"10.11948/20190394","DOIUrl":"https://doi.org/10.11948/20190394","url":null,"abstract":"In this paper, we study the Raǐkov completion of invariant fuzzy metric groups and complete fuzzy metric semigroups (in the sense of Kramosil and Michael). We establish that: (1) if ( G, M, ∗ ) is a fuzzy metric group such that ( M, ∗ ) is invariant, then the Raǐkov completion ϱG of ( G, τ M ) is a fuzzy metric group ( ϱG, f M, ∗ ) such that ( f M, ∗ ) is invariant on ϱG and f M | G × G × [0 , ∞ ) = M ; (2) if ( G, M, ∗ ) is a fuzzy metric semigroup such that ( M, ∗ ) is invariant, then a fuzzy metric completion ( e G, f M, ∗ ) of ( G, M, ∗ ) is a fuzzy metric semigroup and ( f M, ∗ ) is invariant.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"66 6 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87758276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A DELAYED DISCRETE MULTI-GROUP NONLINEAR EPIDEMIC MODEL WITH VACCINATION AND LATENCY","authors":"Jing Hu, Zhijun Liu, Lianwen Wang, Ronghua Tan","doi":"10.11948/20190405","DOIUrl":"https://doi.org/10.11948/20190405","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"128 1","pages":"287-308"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79558803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"PERIODIC SOLUTION FOR SECOND-ORDER DAMPED NEUTRAL DIFFERENTIAL EQUATION VIA A FIXED POINT THEOREM OF LERAY-SCHAUDER TYPE","authors":"Zhibo Cheng, Lisha Lv, Feifan Li","doi":"10.11948/20200041","DOIUrl":"https://doi.org/10.11948/20200041","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"54 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73184419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A STUDY OF GENERALIZED CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH STEILTJES-TYPE FRACTIONAL INTEGRAL BOUNDARY CONDITIONS VIA FIXED-POINT THEORY","authors":"B. Ahmad, M. Alghanmi, A. Alsaedi","doi":"10.11948/20200049","DOIUrl":"https://doi.org/10.11948/20200049","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"38 1","pages":"1208-1221"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75928911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
J. Sousa, L. S. Tavares, C. Ledesma, UnBUniversidade de Brasília Brasília Df Cep Brazil Departamento de Matemática, N. Trujillo-Perú
Boundary value problems driven by fractional operators has drawn the attention of several researchers in the last decades due to its applicability in several areas of Science and Technology. The suitable definition of the fractional derivative and its associated spaces is a natural problem that arise on the study of this kind of problem. A manner to avoid of such problem is to consider a general definition of fractional derivative. The purpose of this manuscript is to contribute, in the mentioned sense, by presenting the ψ−fractional spaces H α,β;ψ p ([0, T ], R). As an application we study a problem, by using the Mountain Pass Theorem, which includes an wide class of equations.
分数算子驱动的边值问题在过去的几十年里由于其在许多科学技术领域的适用性而引起了许多研究者的注意。分数阶导数及其相关空间的适当定义是在研究这类问题时自然产生的问题。避免这种问题的一种方法是考虑分数阶导数的一般定义。本文的目的是，在上述意义上，通过提出分数空间H α，β;ψ p ([0, T]， R)来做出贡献。作为一个应用，我们使用山口定理来研究一个问题，它包括一个广泛的方程类。
{"title":"A VARIATIONAL APPROACH FOR A PROBLEM INVOLVING A ψ-HILFER FRACTIONAL OPERATOR","authors":"J. Sousa, L. S. Tavares, C. Ledesma, UnBUniversidade de Brasília Brasília Df Cep Brazil Departamento de Matemática, N. Trujillo-Perú","doi":"10.11948/20200343","DOIUrl":"https://doi.org/10.11948/20200343","url":null,"abstract":"Boundary value problems driven by fractional operators has drawn the attention of several researchers in the last decades due to its applicability in several areas of Science and Technology. The suitable definition of the fractional derivative and its associated spaces is a natural problem that arise on the study of this kind of problem. A manner to avoid of such problem is to consider a general definition of fractional derivative. The purpose of this manuscript is to contribute, in the mentioned sense, by presenting the ψ−fractional spaces H α,β;ψ p ([0, T ], R). As an application we study a problem, by using the Mountain Pass Theorem, which includes an wide class of equations.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"109 1","pages":"1610-1630"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83245041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"INVARIANT MANIFOLDS FOR THE NONAUTONOMOUS BOISSONADE SYSTEM IN THREE-DIMENSIONAL TORUS","authors":"Na Liu","doi":"10.11948/20210321","DOIUrl":"https://doi.org/10.11948/20210321","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"98 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81284507","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Aiwen Sun, You-Hui Su, Qingchun Yuan, Tongxiang Li
{"title":"EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL-ORDER DERIVATIVE TERMS","authors":"Aiwen Sun, You-Hui Su, Qingchun Yuan, Tongxiang Li","doi":"10.11948/20200072","DOIUrl":"https://doi.org/10.11948/20200072","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"44 1","pages":"486-520"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88780923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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