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Aesthetic Sins of Commission and Omission 作为与不作为的美学之罪
Philosophic research and analysis Pub Date : 2023-03-29 DOI: 10.1093/analys/anad016
Nils-Hennes Stear
{"title":"Aesthetic Sins of Commission and Omission","authors":"Nils-Hennes Stear","doi":"10.1093/analys/anad016","DOIUrl":"https://doi.org/10.1093/analys/anad016","url":null,"abstract":"","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"60 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84602587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a weak maximum principle for a class of fractional diffusive equations 一类分数阶扩散方程的弱极大值原理
Philosophic research and analysis Pub Date : 2023-02-28 DOI: 10.1515/anly-2021-1021
Cyrille Kenne, G. Mophou
{"title":"On a weak maximum principle for a class of fractional diffusive equations","authors":"Cyrille Kenne, G. Mophou","doi":"10.1515/anly-2021-1021","DOIUrl":"https://doi.org/10.1515/anly-2021-1021","url":null,"abstract":"Abstract We consider two evolution equations involving the space fractional Laplace operator of order 0 < s < 1 {0<s<1} . We first establish some existence and uniqueness results for the considered evolution equations. Next, we give some comparison theorems and prove that, if the data of each equation are data bounded, then the solutions are also bounded.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88957045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Universal lower bound of the convergence rate of solutions for a semi-linear heat equation with a critical exponent 具有临界指数的半线性热方程解收敛速率的一般下界
Philosophic research and analysis Pub Date : 2023-02-28 DOI: 10.1515/anly-2022-1092
M. Hoshino
{"title":"Universal lower bound of the convergence rate of solutions for a semi-linear heat equation with a critical exponent","authors":"M. Hoshino","doi":"10.1515/anly-2022-1092","DOIUrl":"https://doi.org/10.1515/anly-2022-1092","url":null,"abstract":"Abstract We study the behavior of solutions of the Cauchy problem for a semi-linear heat equation with critical non-linearity in the sense of Joseph and Lundgren. It is known that if two solutions are initially close enough near the spatial infinity, then these solutions approach each other. In this paper, we give a universal lower bound of the convergence rate of solutions for a class of initial data. This rate contains a logarithmic term, which is not contained in the super critical non-linearity case. Proofs are given by a comparison method based on matched asymptotic expansion.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"95 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83455379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some new Gronwall–Bellman–Bihari type integral inequality associated with ψ-Hilfer fractional derivative 与ψ-Hilfer分数阶导数相关的一些新的Gronwall-Bellman-Bihari型积分不等式
Philosophic research and analysis Pub Date : 2023-02-28 DOI: 10.1515/anly-2022-1073
B. Meftah, D. Foukrach
{"title":"Some new Gronwall–Bellman–Bihari type integral inequality associated with ψ-Hilfer fractional derivative","authors":"B. Meftah, D. Foukrach","doi":"10.1515/anly-2022-1073","DOIUrl":"https://doi.org/10.1515/anly-2022-1073","url":null,"abstract":"Abstract Natural phenomena as well as problems encountered in pure and applied sciences are modeled by ordinary, partial or integral differential equations. Most of these problems have a nonlinear aspect which makes their studies difficult, or even impossible. For this, they must resort to other alternatives; among the methods used is the integral inequalities approach, which allows the study of quantitative and qualitative properties of solutions such as existence, uniqueness, delimitation, oscillation, and stability. In this study, we present some new integral inequalities of the Gronwall–Bellman–Bihari type associated with the fractional derivative of ψ-Hilfer, which represents a strong tool and is applicable in the study of certain differential equations. Several known results are derived and some applications to ordinary differential equations are provided to demonstrate the effectiveness of our finding.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"14 1","pages":"117 - 127"},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81441416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Caputo tempered implicit fractional differential equations in b-metric spaces b-度量空间中Caputo调质隐式分数阶微分方程
Philosophic research and analysis Pub Date : 2023-02-28 DOI: 10.1515/anly-2022-1114
Abdelkrim Salim, S. Krim, J. Lazreg, M. Benchohra
{"title":"On Caputo tempered implicit fractional differential equations in b-metric spaces","authors":"Abdelkrim Salim, S. Krim, J. Lazreg, M. Benchohra","doi":"10.1515/anly-2022-1114","DOIUrl":"https://doi.org/10.1515/anly-2022-1114","url":null,"abstract":"Abstract This paper deals with the existence and uniqueness results for a class of problems for nonlinear Caputo tempered implicit fractional differential equations in b-metric spaces with initial and nonlocal conditions. The arguments are based on some fixed point theorems. Furthermore, two illustrations are presented to demonstrate the plausibility of our results.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"20 1","pages":"129 - 139"},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90318190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Plea for Prudence 谨小慎微
Philosophic research and analysis Pub Date : 2023-01-31 DOI: 10.1093/analys/anac098
James Brown
{"title":"A Plea for Prudence","authors":"James Brown","doi":"10.1093/analys/anac098","DOIUrl":"https://doi.org/10.1093/analys/anac098","url":null,"abstract":"","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77518350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new class of the generalized Hermite-based polynomials 一类新的广义厄米特多项式
Philosophic research and analysis Pub Date : 2023-01-27 DOI: 10.1515/anly-2022-1090
M. Ghayasuddin
{"title":"A new class of the generalized Hermite-based polynomials","authors":"M. Ghayasuddin","doi":"10.1515/anly-2022-1090","DOIUrl":"https://doi.org/10.1515/anly-2022-1090","url":null,"abstract":"Abstract The main object of this paper is to propose a new class of the Hermite-based polynomials by considering the Wiman (generalized Mittag-Leffler) function. We also indicate some analytical properties of our defined polynomials in a well-ordered way. Moreover, we consider a multi-index generalization of our generalized Hermite-based polynomials in the last section.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"60 1","pages":"201 - 208"},"PeriodicalIF":0.0,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84923769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Einstein-type almost Kenmotsu manifolds 关于爱因斯坦型几乎剑木流形
Philosophic research and analysis Pub Date : 2023-01-27 DOI: 10.1515/anly-2022-1058
H. Kumara, M. M. Praveena, D. Naik
{"title":"On Einstein-type almost Kenmotsu manifolds","authors":"H. Kumara, M. M. Praveena, D. Naik","doi":"10.1515/anly-2022-1058","DOIUrl":"https://doi.org/10.1515/anly-2022-1058","url":null,"abstract":"Abstract First, we consider a non-trivial Einstein-type equation on a Kenmotsu manifold M and show that either M is Einstein or the potential function is pointwise collinear with ξ on an open set 𝒰 {mathcal{U}} of M. Finally, we study an Einstein-type equation on an almost Kenmotsu ( κ , μ ) ′ {(kappa,mu)^{prime}} -manifold.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"20 1","pages":"141 - 147"},"PeriodicalIF":0.0,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86264334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A modified Kripkean theory of negative existentials 修正的克里普金消极存在论
Philosophic research and analysis Pub Date : 2023-01-13 DOI: 10.1093/analys/anac092
Chaoan He
{"title":"A modified Kripkean theory of negative existentials","authors":"Chaoan He","doi":"10.1093/analys/anac092","DOIUrl":"https://doi.org/10.1093/analys/anac092","url":null,"abstract":"\u0000 In a 2019 paper, Hausmann raised a new and interesting problem for Kripke’s account of negative existentials. He argued that Kripke’s account leads to the absurd consequence that anybody who has good reasons to believe that there are no propositions also has good reasons to believe that he or she does not exist. In this paper I propose a modified Kripkean theory, which is invulnerable to a Hausmann-like argument. As will be seen, the modified theory can be squarely justified in light of the key observations behind Kripke’s original proposal.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78061183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Certain integral transforms involving Appell and Bessel functions and their applications 涉及阿佩尔函数和贝塞尔函数的若干积分变换及其应用
Philosophic research and analysis Pub Date : 2023-01-10 DOI: 10.1515/anly-2022-1088
A. Belafhal, N. Nossir, L. Dalil-Essakali, T. Usman
{"title":"Certain integral transforms involving Appell and Bessel functions and their applications","authors":"A. Belafhal, N. Nossir, L. Dalil-Essakali, T. Usman","doi":"10.1515/anly-2022-1088","DOIUrl":"https://doi.org/10.1515/anly-2022-1088","url":null,"abstract":"Abstract This paper deals with the evaluation of certain integral transforms involving the product of certain Appell and Bessel functions with a weight e - γ ⁢ t 2 {e^{-gamma t^{2}}} . The transformations of these integrals are evaluated in terms of the Appell, Kampé de Fériet and the triple hypergeometric functions. As an application, we studied propagation of generalized Humbert–Gaussian beams (GHGBs) and hypergeometric-Gaussian beams (HyGGBs) in turbulent atmosphere and through an ABCD paraxial optical system. The evaluation of these integral transforms has initiated a great interest in mathematical physics and its applications to laser physics and linear or non-linear optics.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"106 1","pages":"105 - 116"},"PeriodicalIF":0.0,"publicationDate":"2023-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75672822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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