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Optimal Homotopy Asymptotic Analysis of the Dynamics of Eyring-Powell Fluid due to Convection Subject to Thermal Stratification and Heat Generation Effect 考虑热分层和生热效应的Eyring-Powell流体对流动力学的最优同构渐近分析
Abstract and Applied Analysis Pub Date : 2022-09-23 DOI: 10.1155/2022/6777513
Solomon Bati Kejela, Emiru Rufo Adula
{"title":"Optimal Homotopy Asymptotic Analysis of the Dynamics of Eyring-Powell Fluid due to Convection Subject to Thermal Stratification and Heat Generation Effect","authors":"Solomon Bati Kejela, Emiru Rufo Adula","doi":"10.1155/2022/6777513","DOIUrl":"https://doi.org/10.1155/2022/6777513","url":null,"abstract":"In the present study, the effect of thermal stratification and heat generation in the boundary layer flow of the Eyring-Powell fluid over the stratified extending surface due to convection has been investigated. The governing equations of the flow are transformed from partial differential equations into a couple of nonlinear ordinary differential equations via similarity variables. The optimal homotopy asymptotic method (OHAM) is used to acquire the approximate analytical solution to the problems. Impacts of flow regulatory parameters on temperature, velocity, skin friction coefficient, and Nusselt number are examined. It is discovered that the fluid velocity augments with a greater value of material parameter \u0000 \u0000 E\u0000 \u0000 , mixed convection parameter \u0000 \u0000 λ\u0000 \u0000 , and material fluid parameter \u0000 \u0000 σ\u0000 \u0000 . The result also revealed that with a higher value of the Prandtl number Pr and the stratified parameter \u0000 \u0000 ε\u0000 \u0000 , the temperature and the velocity profile decreases, but the opposite behavior is observed when the heat generation/absorption parameter \u0000 \u0000 γ\u0000 \u0000 increases. The results are compared with available literature and are in good harmony. The present study has substantial ramifications in industrial, engineering, and technological applications, for instance, in designing various chemical processing equipment, distribution of temperature and moisture over agricultural fields, groves of fruit trees, environmental pollution, geothermal reservoirs, thermal insulation, enhanced oil recovery, and underground energy transport.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48993871","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 the New Generalized Hahn Sequence Space � � � h� � � d 关于新的广义Hahn序列空间h d</mi
Abstract and Applied Analysis Pub Date : 2022-09-16 DOI: 10.1155/2022/6832559
Orhan Tuǧ, E. Malkowsky, B. Hazarika, Taja Yaying
{"title":"On the New Generalized Hahn Sequence Space <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\u0000 <msubsup>\u0000 <mrow>\u0000 <mi>h</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>d</mi","authors":"Orhan Tuǧ, E. Malkowsky, B. Hazarika, Taja Yaying","doi":"10.1155/2022/6832559","DOIUrl":"https://doi.org/10.1155/2022/6832559","url":null,"abstract":"<jats:p>In this article, we define the new generalized Hahn sequence space <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\u0000 <msubsup>\u0000 <mrow>\u0000 <mi>h</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>d</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>p</mi>\u0000 </mrow>\u0000 </msubsup>\u0000 </math>\u0000 </jats:inline-formula>, where <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\u0000 <mi>d</mi>\u0000 <mo>=</mo>\u0000 <msubsup>\u0000 <mrow>\u0000 <mfenced open=\"(\" close=\")\">\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>d</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>k</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 </mfenced>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>k</mi>\u0000 <mo>=</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 <mrow>\u0000 <mo>∞</mo>\u0000 </mrow>\u0000 </msubsup>\u0000 </math>\u0000 </jats:inline-formula> is monotonically increasing sequence with <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\">\u0000 <msub>\u0000 <mrow>\u0000 <mi>d</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>k</mi>\u0000 </mrow>\u0000 </msub>\u0000 <mo>≠</mo>\u0000 <mn>0</mn>\u0000 </math>\u0000 </jats:inline-formula> for all <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\">\u0000 <mi>k</mi>\u0000 <mo>∈</mo>\u0000 <mi>ℕ</mi>\u0000 </math>\u0000 </jats:inline-formula>, and <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M6\">\u0000 <mn>1</mn>\u0000 <mo><</mo>\u0000 <mi>p</mi>\u0000 <mo><</mo>\u0000 ","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46124179","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
Stability Results for Enriched Contraction Mappings in Convex Metric Spaces 凸度量空间中丰富压缩映射的稳定性结果
Abstract and Applied Analysis Pub Date : 2022-08-31 DOI: 10.1155/2022/5695286
Rekha Panicker, Rahul Shukla
{"title":"Stability Results for Enriched Contraction Mappings in Convex Metric Spaces","authors":"Rekha Panicker, Rahul Shukla","doi":"10.1155/2022/5695286","DOIUrl":"https://doi.org/10.1155/2022/5695286","url":null,"abstract":"In this paper, we obtain some stability results of fixed point sets for a sequence of enriched contraction mappings in the setting of convex metric spaces. In particular, two types of convergence of mappings, namely, \u0000 \u0000 \u0000 \u0000 G\u0000 \u0000 \u0000 \u0000 -convergence and \u0000 \u0000 \u0000 \u0000 H\u0000 \u0000 \u0000 \u0000 -convergence are considered. We also illustrate our results by an application to an initial value problem for an ordinary differential equation.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43301656","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
A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces Hilbert空间中两个非线性映射的公共不动点的弱收敛定理
Abstract and Applied Analysis Pub Date : 2022-08-26 DOI: 10.1155/2022/9568060
Takanori Ibaraki, Shunsuke Kajiba, Y. Takeuchi
{"title":"A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces","authors":"Takanori Ibaraki, Shunsuke Kajiba, Y. Takeuchi","doi":"10.1155/2022/9568060","DOIUrl":"https://doi.org/10.1155/2022/9568060","url":null,"abstract":"In this paper, by using properties of attractive points, we study an iteration scheme combining simplified Baillon type and Mann type to find a common fixed point of commutative two nonlinear mappings in Hilbert spaces. Then, we apply the obtained results to prove a new weak convergence theorem.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48505141","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
Common Best Proximity Point Theorems for Generalized Proximal Weakly Contractive Mappings in b-Metric Space b-度量空间中广义近端弱压缩映射的公共最佳邻近点定理
Abstract and Applied Analysis Pub Date : 2022-08-24 DOI: 10.1155/2022/5982401
Yohannes Gebru, Yitages Negede
{"title":"Common Best Proximity Point Theorems for Generalized Proximal Weakly Contractive Mappings in b-Metric Space","authors":"Yohannes Gebru, Yitages Negede","doi":"10.1155/2022/5982401","DOIUrl":"https://doi.org/10.1155/2022/5982401","url":null,"abstract":"In this paper, common best proximity point theorems for weakly contractive mapping in b-metric spaces in the cases of nonself-mappings are proved; we introduced the notion of generalized proximal weakly contractive mappings in b-metric spaces and proved the existence and uniqueness of common best proximity point for these mappings in complete b-metric spaces. We also included some supporting examples that our finding is more generalized with the references we used.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45354056","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
Asymptotics and Confluence for a Singular Nonlinear q -Difference-Differential Cauchy Problem 一类奇异非线性q-差分微分Cauchy问题的渐近性和收敛性
Abstract and Applied Analysis Pub Date : 2022-08-08 DOI: 10.1155/2022/9637628
S. Malek
{"title":"Asymptotics and Confluence for a Singular Nonlinear \u0000 q\u0000 -Difference-Differential Cauchy Problem","authors":"S. Malek","doi":"10.1155/2022/9637628","DOIUrl":"https://doi.org/10.1155/2022/9637628","url":null,"abstract":"We examine a family of nonlinear \u0000 \u0000 q\u0000 −\u0000 \u0000 difference-differential Cauchy problems obtained as a coupling of linear Cauchy problems containing dilation \u0000 \u0000 q\u0000 −\u0000 \u0000 difference operators, recently investigated by the author, and quasilinear Kowalevski type problems that involve contraction \u0000 \u0000 q\u0000 −\u0000 \u0000 difference operators. We build up local holomorphic solutions to these problems. Two aspects of these solutions are explored. One facet deals with asymptotic expansions in the complex time variable for which a mixed type Gevrey and \u0000 \u0000 q\u0000 −\u0000 \u0000 Gevrey structure are exhibited. The other feature concerns the problem of confluence of these solutions as \u0000 \u0000 q\u0000 >\u0000 1\u0000 \u0000 tends to 1.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44687185","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
Solving Nonlinear Fractional Partial Differential Equations Using the Elzaki Transform Method and the Homotopy Perturbation Method 用Elzaki变换法和同伦摄动法求解非线性分数阶偏微分方程
Abstract and Applied Analysis Pub Date : 2022-08-08 DOI: 10.1155/2022/4743234
Mohamed Z. Mohamed, Mohammed Yousif, Amjad E. Hamza
{"title":"Solving Nonlinear Fractional Partial Differential Equations Using the Elzaki Transform Method and the Homotopy Perturbation Method","authors":"Mohamed Z. Mohamed, Mohammed Yousif, Amjad E. Hamza","doi":"10.1155/2022/4743234","DOIUrl":"https://doi.org/10.1155/2022/4743234","url":null,"abstract":"In this paper, we combine the Elzaki transform method (ETM) with the new homotopy perturbation method (NHPM) for the first time. This hybrid approach can solve initial value problems numerically and analytically, such as nonlinear fractional differential equations of various normal orders. The Elzaki transform method (ETM) is used to solve nonlinear fractional differential equations, and then the homotopy is applied to the transformed equation, which includes the beginning conditions. To obtain the solution to an equation, we use the inverse transforms of the Elzaki transform method (ETM). The initial conditions have a big impact on the equation’s result. We give three beginning value issues that were solved as precise or approximation solutions with high rigor to demonstrate the method’s power and correctness. It is clear that solving nonlinear partial differential equations with the crossbred approach is the best alternative.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43152373","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: 7
On Nonsmooth Global Implicit Function Theorems for Locally Lipschitz Functions from Banach Spaces to Euclidean Spaces 从Banach空间到欧几里得空间局部Lipschitz函数的非光滑全局隐函数定理
Abstract and Applied Analysis Pub Date : 2022-07-28 DOI: 10.1155/2022/1021461
G. Degla, Cyrille Dansou, Fortuné Dohemeto
{"title":"On Nonsmooth Global Implicit Function Theorems for Locally Lipschitz Functions from Banach Spaces to Euclidean Spaces","authors":"G. Degla, Cyrille Dansou, Fortuné Dohemeto","doi":"10.1155/2022/1021461","DOIUrl":"https://doi.org/10.1155/2022/1021461","url":null,"abstract":"In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces. Moreover, we derive, under suitable conditions, a series of results on the existence, uniqueness, and possible continuity of global implicit functions that parametrize the set of zeros of locally Lipschitz functions. Our methods rely on a nonsmooth critical point theory based on a generalization of the Ekeland variational principle.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45489944","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
Measure � � � ω� ,� c� � 测量ω， c
Abstract and Applied Analysis Pub Date : 2022-07-26 DOI: 10.1155/2022/9558928
James Larrouy, G. N’Guérékata
{"title":"Measure <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\u0000 <mfenced open=\"(\" close=\")\">\u0000 <mrow>\u0000 <mi>ω</mi>\u0000 <mo>,</mo>\u0000 <mi>c</mi>\u0000 </mrow>\u0000 ","authors":"James Larrouy, G. N’Guérékata","doi":"10.1155/2022/9558928","DOIUrl":"https://doi.org/10.1155/2022/9558928","url":null,"abstract":"<jats:p>The primary aim of this work is to introduce a new class of functions called <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\u0000 <mi>μ</mi>\u0000 </math>\u0000 </jats:inline-formula>-<jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\u0000 <mfenced open=\"(\" close=\")\">\u0000 <mrow>\u0000 <mi>ω</mi>\u0000 <mo>,</mo>\u0000 <mi>c</mi>\u0000 </mrow>\u0000 </mfenced>\u0000 </math>\u0000 </jats:inline-formula>-pseudo-almost periodic functions. Using the measure theory, we generalize in a natural way some recent works and study some properties of those <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\">\u0000 <mi>μ</mi>\u0000 </math>\u0000 </jats:inline-formula>-<jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\">\u0000 <mfenced open=\"(\" close=\")\">\u0000 <mrow>\u0000 <mi>ω</mi>\u0000 <mo>,</mo>\u0000 <mi>c</mi>\u0000 </mrow>\u0000 </mfenced>\u0000 </math>\u0000 </jats:inline-formula>-pseudo-almost periodic functions including two new composition results which play a crucial role for the existence of some <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M6\">\u0000 <mi>μ</mi>\u0000 </math>\u0000 </jats:inline-formula>-<jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M7\">\u0000 <mfenced open=\"(\" close=\")\">\u0000 <mrow>\u0000 <mi>ω</mi>\u0000 <mo>,</mo>\u0000 <mi>c</mi>\u0000 </mrow>\u0000 </mfenced>\u0000 </math>\u0000 </jats:inline-formula>-pseudo-almost periodic solutions of certain semilinear differential equations and partial differential equations. We also investigate the existence and uniqueness of the <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M8\">\u0000 <mi>μ</mi>\u0000 </math>\u0000 </jats:inline-formula>-<jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M9\">\u0000 <mfenced open=\"(\" close=\")\">\u0000 <mrow>\u0000 <mi>ω</mi>\u0000 <mo>,</mo>\u0000 <","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46591594","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 Certain Properties of a Univalent Function Associated with Beta Function 关于一个与贝塔函数相关的单价函数的某些性质
Abstract and Applied Analysis Pub Date : 2022-07-25 DOI: 10.1155/2022/8150057
M. Oluwayemi, Sunday Olufemi Olatunji, T. Ogunlade
{"title":"On Certain Properties of a Univalent Function Associated with Beta Function","authors":"M. Oluwayemi, Sunday Olufemi Olatunji, T. Ogunlade","doi":"10.1155/2022/8150057","DOIUrl":"https://doi.org/10.1155/2022/8150057","url":null,"abstract":"Beta function has some applications in differential equations and other areas of sciences and engineering where certain definite integrals are used. However, its applications to univalent functions have not been explored based on the available literature. In this work, therefore, the authors defined a univalent function associated with the beta function \u0000 \u0000 B\u0000 \u0000 \u0000 m\u0000 ,\u0000 n\u0000 \u0000 \u0000 \u0000 with \u0000 \u0000 m\u0000 ,\u0000 n\u0000 >\u0000 0\u0000 \u0000 . Some geometric properties of the function are discussed.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45257600","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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