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

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On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative 关于Caputo指数分数阶导数的非线性周期问题
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-11-28 DOI: 10.31197/atnaa.1130743
Mohamed Chohri, S. Bouriah, Salim Abdelkrim, M. Benchohra
{"title":"On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative","authors":"Mohamed Chohri, S. Bouriah, Salim Abdelkrim, M. Benchohra","doi":"10.31197/atnaa.1130743","DOIUrl":"https://doi.org/10.31197/atnaa.1130743","url":null,"abstract":"In this article, we employ Mawhin's theory of degree of coincidence to provide an existence result for a class of problems involving non-linear implicit fractional differential equations with the exponentially fractional derivative of Caputo. Two examples are provided to demonstrate the applicability of our results.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82139982","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 classes of control functions for nonlinear contractions and applications 非线性收缩控制函数的新类别及其应用
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-11-05 DOI: 10.31197/atnaa.1134524
M. Berzig
{"title":"New classes of control functions for nonlinear contractions and applications","authors":"M. Berzig","doi":"10.31197/atnaa.1134524","DOIUrl":"https://doi.org/10.31197/atnaa.1134524","url":null,"abstract":"We initiate the use of sub and super homogeneous control functions for nonlinear contractions in complete metric spaces and establish new fixed point theorems. Moreover, we develop other variants of control functions for the fixed point theorems of Boyd-Wong [2] and Matkowski [3]. As application, we present new sufficient conditions ensuring the existence of solutions to some classes of integral equations of Fredholm and Volterra type.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80382394","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
Generalized Shehu Transform to $Psi$-Hilfer-Prabhakar Fractional Derivative and its Regularized Version $Psi$-Hilfer-Prabhakar分数阶导数的广义Shehu变换及其正则化形式
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-09-30 DOI: 10.31197/atnaa.1032207
Sachin K. Magar, Ahmed A. Hamoud, Amol D. Khandagale, K. Ghadle
{"title":"Generalized Shehu Transform to $Psi$-Hilfer-Prabhakar Fractional Derivative and its Regularized Version","authors":"Sachin K. Magar, Ahmed A. Hamoud, Amol D. Khandagale, K. Ghadle","doi":"10.31197/atnaa.1032207","DOIUrl":"https://doi.org/10.31197/atnaa.1032207","url":null,"abstract":"In this manuscript, athours interested on the generalized Shehu transform of $Psi$-Riemann-Liouville, $Psi$-Caputo, $Psi$-Hilfer fractional derivatives. Moreover, $Psi$-Prabhakar, $Psi$-Hilfer-Prabhakar fractional derivatives and its regularized version presented in terms of the $Psi$-Mittag-Leffler type function. They are also utilised to solve several Cauchy type problems involving $Psi$-Hilfer-Prabhakar fractional derivatives and their regularised form, such as the space-time fractional advection-dispersion equation and the generalized fractional free-electron laser (FEL) equation.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82071360","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
Galerkin Finite Element Approach to Solve System of Nonlinear Second-Order Boundary Value Problems 求解非线性二阶边值问题系统的Galerkin有限元法
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-05-20 DOI: 10.31197/atnaa.858609
M. Kamrujjaman, Sadia Akter Lima, Md. Shafiqul Islam, Hazrat Ali
{"title":"Galerkin Finite Element Approach to Solve System of Nonlinear Second-Order Boundary Value Problems","authors":"M. Kamrujjaman, Sadia Akter Lima, Md. Shafiqul Islam, Hazrat Ali","doi":"10.31197/atnaa.858609","DOIUrl":"https://doi.org/10.31197/atnaa.858609","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84769256","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 Neutrosophic Continuous Distributions With Applications to Neutrosophic Random Variables 若干中性连续分布及其在中性随机变量中的应用
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-05-20 DOI: 10.31197/atnaa.1056480
Carlos Granados, A. Das, Birojit Das
{"title":"Some Neutrosophic Continuous Distributions With Applications to Neutrosophic Random Variables","authors":"Carlos Granados, A. Das, Birojit Das","doi":"10.31197/atnaa.1056480","DOIUrl":"https://doi.org/10.31197/atnaa.1056480","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77538632","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
Multiple Nonnegative Solutions for a Class of Fourth-Order BVPs Via a New Topological Approach 一类四阶BVPs的多重非负解的新拓扑方法
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-04-19 DOI: 10.31197/atnaa.977625
Salim Benslimane, S. Georgiev, K. Mebarki
{"title":"Multiple Nonnegative Solutions for a Class of Fourth-Order BVPs Via a New Topological Approach","authors":"Salim Benslimane, S. Georgiev, K. Mebarki","doi":"10.31197/atnaa.977625","DOIUrl":"https://doi.org/10.31197/atnaa.977625","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80800781","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
On the integration of first order nonlinear differential equations and the conditions of Fuchs' theorem 一阶非线性微分方程的积分及Fuchs定理的条件
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-04-18 DOI: 10.31197/atnaa.1059343
A. Kessi, Moussa Yahi̇, T. Laadj
{"title":"On the integration of first order nonlinear differential equations and the conditions of Fuchs' theorem","authors":"A. Kessi, Moussa Yahi̇, T. Laadj","doi":"10.31197/atnaa.1059343","DOIUrl":"https://doi.org/10.31197/atnaa.1059343","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86783934","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
Properties of Certain Volterra type ABC Fractional Integral Equations 某些Volterra型ABC分数阶积分方程的性质
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-04-16 DOI: 10.31197/atnaa.1061019
D. Pachpatte, J. Nieto
{"title":"Properties of Certain Volterra type ABC Fractional Integral Equations","authors":"D. Pachpatte, J. Nieto","doi":"10.31197/atnaa.1061019","DOIUrl":"https://doi.org/10.31197/atnaa.1061019","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77508510","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
Neumann and Mix Boundary Value Problems on the Upper Half Plane 上半平面上的Neumann和Mix边值问题
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-03-31 DOI: 10.31197/atnaa.950920
A. Chaudhary
{"title":"Neumann and Mix Boundary Value Problems on the Upper Half Plane","authors":"A. Chaudhary","doi":"10.31197/atnaa.950920","DOIUrl":"https://doi.org/10.31197/atnaa.950920","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88455543","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
LOWER SEMI-CONTINUITY IN A GENERALIZED METRIC SPACE 广义度量空间中的下半连续性
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-03-31 DOI: 10.31197/atnaa.1013690
M. Asadi, Alireza Khalesi̇
{"title":"LOWER SEMI-CONTINUITY IN A GENERALIZED METRIC SPACE","authors":"M. Asadi, Alireza Khalesi̇","doi":"10.31197/atnaa.1013690","DOIUrl":"https://doi.org/10.31197/atnaa.1013690","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82761455","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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