{"title":"Retracted: Degree-Based Graph Invariants of some Chemical Structures for the Treatment of Corona Virus","authors":"Journal of Function Spaces","doi":"10.1155/2024/9793162","DOIUrl":"https://doi.org/10.1155/2024/9793162","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139601103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: Topological Aspects of Certain Covalent Organic Frameworks and Metal Organic Frameworks","authors":"Journal of Function Spaces","doi":"10.1155/2024/9812819","DOIUrl":"https://doi.org/10.1155/2024/9812819","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139600783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: Novel Analysis of Fuzzy Fractional Klein-Gordon Model via Semianalytical Method","authors":"Journal of Function Spaces","doi":"10.1155/2024/9874057","DOIUrl":"https://doi.org/10.1155/2024/9874057","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139600384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: A New Approach to Model Machine Learning by Using Complex Bipolar Intuitionistic Fuzzy Information","authors":"Journal of Function Spaces","doi":"10.1155/2024/9829210","DOIUrl":"https://doi.org/10.1155/2024/9829210","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139601834","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: Content-Based Image Retrieval Using Gamma Distribution and Mixture Model","authors":"Journal of Function Spaces","doi":"10.1155/2024/9819768","DOIUrl":"https://doi.org/10.1155/2024/9819768","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139602657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper investigates the existence of solutions for Hadamard fractional differential equations with integral boundary conditions at resonance on infinite domain. By constructing two suitable Banach spaces, establishing an appropriate compactness criterion, and defining appropriate projectors, we study an existence theorem upon the coincidence degree theory of Mawhin. An example is given to illustrate our main result.
{"title":"Solvability of a Hadamard Fractional Boundary Value Problem at Resonance on Infinite Domain","authors":"Xingfang Feng, Yucheng Li","doi":"10.1155/2024/5554742","DOIUrl":"https://doi.org/10.1155/2024/5554742","url":null,"abstract":"This paper investigates the existence of solutions for Hadamard fractional differential equations with integral boundary conditions at resonance on infinite domain. By constructing two suitable Banach spaces, establishing an appropriate compactness criterion, and defining appropriate projectors, we study an existence theorem upon the coincidence degree theory of Mawhin. An example is given to illustrate our main result.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139556485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
B. M. Munasser, A. O. Mostafa, T. Sultan, Nasser A. EI-Sherbeny, S. M. Madian
Making use of a differential operator, which is defined here by means of the Hadamard product, we introduce classes of -valent functions and investigate various important inclusion properties and characteristics for these classes. Also, a property preserving integrals is considered.
{"title":"Inclusion Properties for Classes of -Valent Functions","authors":"B. M. Munasser, A. O. Mostafa, T. Sultan, Nasser A. EI-Sherbeny, S. M. Madian","doi":"10.1155/2024/2701156","DOIUrl":"https://doi.org/10.1155/2024/2701156","url":null,"abstract":"Making use of a differential operator, which is defined here by means of the Hadamard product, we introduce classes of <span><svg height=\"10.2124pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -6.78297 7.83752 10.2124\" width=\"7.83752pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-113\"></use></g></svg>-</span>valent functions and investigate various important inclusion properties and characteristics for these classes. Also, a property preserving integrals is considered.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139515882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 employ a -Noor integral operator to perform a -analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the -fractional integral operator and apply the inspired presented theory of the differential subordination, to geometrically explore the most popular differential subordination properties of the aforementioned operator. In addition, we discuss an exciting inclusion for the given convex class of functions. Over and above, we investigate the -fractional integral operator and obtain some applications for the differential subordination.
{"title":"On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals","authors":"Mojtaba Fardi, Ebrahim Amini, Shrideh Al-Omari","doi":"10.1155/2024/4565581","DOIUrl":"https://doi.org/10.1155/2024/4565581","url":null,"abstract":"In this paper, we employ a <span><svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 6.50656 9.39034\" width=\"6.50656pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg>-</span>Noor integral operator to perform a <span><svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 6.50656 9.39034\" width=\"6.50656pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-114\"></use></g></svg>-</span>analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the <span><svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 6.50656 9.39034\" width=\"6.50656pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-114\"></use></g></svg>-</span>fractional integral operator and apply the inspired presented theory of the differential subordination, to geometrically explore the most popular differential subordination properties of the aforementioned operator. In addition, we discuss an exciting inclusion for the given convex class of functions. Over and above, we investigate the <span><svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 6.50656 9.39034\" width=\"6.50656pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-114\"></use></g></svg>-</span>fractional integral operator and obtain some applications for the differential subordination.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139515671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper concerns the universality of the two-layer neural network with the -rectified linear unit activation function with with a suitable norm without any restriction on the shape of the domain in the real line. This type of result is called global universality, which extends the previous result for by the present authors. This paper covers
{"title":"Global Universality of the Two-Layer Neural Network with the -Rectified Linear Unit","authors":"Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano","doi":"10.1155/2024/3262798","DOIUrl":"https://doi.org/10.1155/2024/3262798","url":null,"abstract":"This paper concerns the universality of the two-layer neural network with the <span><svg height=\"9.49473pt\" style=\"vertical-align:-0.2063999pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 6.66314 9.49473\" width=\"6.66314pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-108\"></use></g></svg>-</span>rectified linear unit activation function with <span><svg height=\"10.8649pt\" style=\"vertical-align:-1.57657pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 17.802 10.8649\" width=\"17.802pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-108\"></use></g><g transform=\"matrix(.013,0,0,-0.013,10.171,0)\"></path></g></svg><span></span><svg height=\"10.8649pt\" style=\"vertical-align:-1.57657pt\" version=\"1.1\" viewbox=\"21.384183800000002 -9.28833 9.204 10.8649\" width=\"9.204pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,21.434,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,27.674,0)\"></path></g></svg><span></span><svg height=\"10.8649pt\" style=\"vertical-align:-1.57657pt\" version=\"1.1\" viewbox=\"32.7671838 -9.28833 9.204 10.8649\" width=\"9.204pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,32.817,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,39.057,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"10.8649pt\" style=\"vertical-align:-1.57657pt\" version=\"1.1\" viewbox=\"44.1501838 -9.28833 13.505 10.8649\" width=\"13.505pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,44.2,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,49.343,0)\"><use xlink:href=\"#g113-47\"></use></g><g transform=\"matrix(.013,0,0,-0.013,54.486,0)\"><use xlink:href=\"#g113-47\"></use></g></svg></span> with a suitable norm without any restriction on the shape of the domain in the real line. This type of result is called global universality, which extends the previous result for <span><svg height=\"9.49473pt\" style=\"vertical-align:-0.2063999pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 17.802 9.49473\" width=\"17.802pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-108\"></use></g><g transform=\"matrix(.013,0,0,-0.013,10.171,0)\"><use xlink:href=\"#g117-34\"></use></g></svg><span></span><svg height=\"9.49473pt\" style=\"vertical-align:-0.2063999pt\" version=\"1.1\" viewbox=\"21.384183800000002 -9.28833 6.416 9.49473\" width=\"6.416pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,21.434,0)\"><use xlink:href=\"#g113-50\"></use></g></svg></span> by the present authors. This paper covers <span><svg height=\"9.49473pt\" style=\"vertical-align:-0.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139500179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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