发布求助
文献互助 智能选刊 最新文献

Advances in the Theory of Nonlinear Analysis and its Application最新文献

筛选
英文 中文
Regional Reconstruction of Semilinear Caputo Type Time-Fractional Systems Using the Analytical Approach. 半线性Caputo型时间分数系统的区域重构。
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2021-07-26 DOI: 10.31197/atnaa.799236
F. E. Alaoui, A. Boutoulout, Khalid Zguaid
{"title":"Regional Reconstruction of Semilinear Caputo Type Time-Fractional Systems Using the Analytical Approach.","authors":"F. E. Alaoui, A. Boutoulout, Khalid Zguaid","doi":"10.31197/atnaa.799236","DOIUrl":"https://doi.org/10.31197/atnaa.799236","url":null,"abstract":"The aim of this paper is to investigate the concept of regional observability, precisely regional reconstruction of the initial state, for a semilinear Caputo type time-fractional di usion system. The approaches attempted in this work are both based on xed point techniques that leads to a successful algorithm which is tested by numerical examples.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"67 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76332385","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: 5
Note on abstract elliptic equations with nonlocal boundary in time condition 时间条件下具有非局部边界的抽象椭圆方程的注意事项
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2021-06-30 DOI: 10.31197/atnaa.925768
Kim Van HO THİ
{"title":"Note on abstract elliptic equations with nonlocal boundary in time condition","authors":"Kim Van HO THİ","doi":"10.31197/atnaa.925768","DOIUrl":"https://doi.org/10.31197/atnaa.925768","url":null,"abstract":"Our main purpose of this paper is to study the linear elliptic equation with nonlocal in time condition. The problem is taken in abstract Hilbert space H. In concrete form, the elliptic equation has been extensively investigated in many practical areas, such as geophysics, plasma physics, bioelectric field problems. Under some assumptions of the input data, we obtain the well-posed result for the solution. In the first part, we study the regularity of the solution. In the second part, we investigate the asymptotic behaviour when some paramteres tend to zero.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83163878","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
Existence of an initial value problem for time-fractional Oldroyd-B fluid equation using Banach fixed point theorem 利用Banach不动点定理研究了时间分数阶Oldroyd-B流体方程初值问题的存在性
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2021-06-29 DOI: 10.31197/atnaa.943242
Vo Viet Tri
{"title":"Existence of an initial value problem for time-fractional Oldroyd-B fluid equation using Banach fixed point theorem","authors":"Vo Viet Tri","doi":"10.31197/atnaa.943242","DOIUrl":"https://doi.org/10.31197/atnaa.943242","url":null,"abstract":"In this paper, we study the initial boundary value problem for time-fractional Oldroyd-B fluid equation. Our model contains two Riemann-Liouville fractional derivatives which have many applications, for example, in viscoelastic flows. For the linear case, we obtain regularity results under some different assumptions of the initial data and the source function. For the non-linear case, we obtain the existence of a unique solution using Banach’s fixed point theorem.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78464696","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
Hagen-Poiseuille Flow in Circular Cylinder when Temperature is Exponential and Sinusoidal Function of Length 温度是长度的指数函数和正弦函数时圆柱内的ha根-泊泽维尔流
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2021-06-14 DOI: 10.31197/atnaa.954432
Radhika Khandelwal, S. Agarwal
{"title":"Hagen-Poiseuille Flow in Circular Cylinder when Temperature is Exponential and Sinusoidal Function of Length","authors":"Radhika Khandelwal, S. Agarwal","doi":"10.31197/atnaa.954432","DOIUrl":"https://doi.org/10.31197/atnaa.954432","url":null,"abstract":"In this paper, we have investigated the heat transfer in a circular cylindrical pipe for Hagen-Poiseuille ow and used MATLAB as a scienti c tool to plot the graphs. The calculations for the axial heat conduction and the temperature gradient have been performed for both upstream and downstream ows. In this experiment, the results are plotted graphically for the di erent uids like Air, Water, Milk, Glycerin and Mercury. The physical trends of the plotted curves represent the values of heat transfer that were di erent in Hydrogen and Air; on the contrary rest of the uids were behaving similarly when temperature was taken as an exponential function and for sinusoidal function all the uids were behaving in a similar manner.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"291 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84972054","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
NEW GENERALIZATION OF REVERSE MINKOWSKI’S INEQUALITY FOR FRACTIONAL INTEGRAL 分数阶积分反闵可夫斯基不等式的新推广
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2020-12-31 DOI: 10.31197/atnaa.756605
Tariq A. Aljaaidi, D. Pachpatte
{"title":"NEW GENERALIZATION OF REVERSE MINKOWSKI’S INEQUALITY FOR FRACTIONAL INTEGRAL","authors":"Tariq A. Aljaaidi, D. Pachpatte","doi":"10.31197/atnaa.756605","DOIUrl":"https://doi.org/10.31197/atnaa.756605","url":null,"abstract":"In this research, we introduce some new fractional integral inequalities of Minkowski’s type by using Riemann-Liouville fractional integral operator. We replace the constants that appear on Minkowski’s inequality by two positive functions. Further, we establish some new fractional inequalities related to the reverse Minkowski type inequalities via Riemann-Liouville fractional integral. Using this fractional integral operator, some special cases of reverse Minkowski type are also discussed.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"23 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77464247","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: 6
Hilfer-Hadamard Fractional Differential Equations; Existence and Attractivity Hilfer-Hadamard分数阶微分方程;存在与吸引力
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2020-12-31 DOI: 10.31197/atnaa.848928
Fatima Sİ BACHİR, Abbas Said, Maamar Benbachir, M. Benchohra
{"title":"Hilfer-Hadamard Fractional Differential Equations; Existence and Attractivity","authors":"Fatima Sİ BACHİR, Abbas Said, Maamar Benbachir, M. Benchohra","doi":"10.31197/atnaa.848928","DOIUrl":"https://doi.org/10.31197/atnaa.848928","url":null,"abstract":"This work deals with a class of Hilfer-Hadamard differential equations. Existence and stability of solutions are presented. We use an appropriate fixed point theorem.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83376336","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: 37
Some Properties for Certain Subclasses of Analytic Functions Associated with $k-$Integral Operators 与$k-$积分算子相关的解析函数某些子类的一些性质
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2020-12-30 DOI: 10.31197/atnaa.825204
Eman S. A. Abujarad, Mohammed H. A. AbuJarad, T. Abdeljawad, F. Jarad
{"title":"Some Properties for Certain Subclasses of Analytic Functions Associated with $k-$Integral Operators","authors":"Eman S. A. Abujarad, Mohammed H. A. AbuJarad, T. Abdeljawad, F. Jarad","doi":"10.31197/atnaa.825204","DOIUrl":"https://doi.org/10.31197/atnaa.825204","url":null,"abstract":"In this paper, the k-integral operators for analytic functions dened in the open unit disc U = fz 2 C : jzj < 1g are introduced. Several new subclasses of analytic functions satisfying certain relations involving these operators are also introduced. Further, we establish the inclusion relation for these subclasses. Next, the integral preserving properties of a k-integral operator satised by these newly introduced subclasses are obtained. Some applications of the results are discussed. Concluding remarks are also given.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"88 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73355320","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
Forward-Backward Alternating Parallel Shooting Method for Multi-layer Boundary Value Problems 多层边值问题的前后交替平行射击方法
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2020-12-30 DOI: 10.31197/atnaa.753561
M. Hajji
{"title":"Forward-Backward Alternating Parallel Shooting Method for Multi-layer Boundary Value Problems","authors":"M. Hajji","doi":"10.31197/atnaa.753561","DOIUrl":"https://doi.org/10.31197/atnaa.753561","url":null,"abstract":"Multi-layer boundary value problems have received a great deal of attention in the past few years. This is due to the fact that they model many engineering applications. Examples of applications include fluid flow though multi-layer porous media such as ground water and oil reservoirs. In this work, we present a new method for solving multi-layer boundary value problems. The method is based on an efficient adaption of the classical shooting method, where a boundary value problem is solved by means of solving a sequence of initial value problems. We propose, an alternating forward-backward shooting strategy that reduces computational cost. Illustration of the method is presented on application to fluid flow through multi-layer porous media. The examples presented suggested that the method is reliable and accurate.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"69 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90596328","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
Analysis and Simulation of Fractional-Order Diabetes Model 分数阶糖尿病模型的分析与仿真
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2020-12-30 DOI: 10.31197/atnaa.778506
M. Farman, A. Akgül, Aqeel Ahmad
{"title":"Analysis and Simulation of Fractional-Order Diabetes Model","authors":"M. Farman, A. Akgül, Aqeel Ahmad","doi":"10.31197/atnaa.778506","DOIUrl":"https://doi.org/10.31197/atnaa.778506","url":null,"abstract":"In this article, we research the diabetes model and its consequences using the Caputo and Atangana Baleanu fractional derivatives. The presence and uniqueness are strongly mentored by the fixed point theorem and the approach to Picard - Lindelof. A deterministic mathematical model corresponding to the fractional derivative of diabetes mellitus. The Laplace transformation is used for the diagnostic structure of the diabetes model. Finally, numerical calculations are made to illustrate the effect of changing the fractional-order to obtain the theoretical results, and comparisons are made for the Caputo and Atangana Baleanu derivative. The results of the following work by controlling plasma glucose with the fractional-order model make it a suitable candidate for controlling human type 1 diabetes.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86758270","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: 2
EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL NEUTRAL VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS 分数中立型volterra-fredholm积分微分方程解的存在唯一性
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2020-12-30 DOI: 10.31197/atnaa.799854
Ahmed A. Hamoud
{"title":"EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL NEUTRAL VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS","authors":"Ahmed A. Hamoud","doi":"10.31197/atnaa.799854","DOIUrl":"https://doi.org/10.31197/atnaa.799854","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"35 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85798265","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: 16
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信