Martha Paola Cruz de la Cruz, Daniel Alfonso Santiesteban, Luis Miguel Martín Álvarez, Ricardo Abreu Blaya, Hernández-Gómez Juan Carlos
{"title":"在广义Klausmeier模型上","authors":"Martha Paola Cruz de la Cruz, Daniel Alfonso Santiesteban, Luis Miguel Martín Álvarez, Ricardo Abreu Blaya, Hernández-Gómez Juan Carlos","doi":"10.3934/mbe.2023734","DOIUrl":null,"url":null,"abstract":"<p><p>In this paper we study a generalized Klausmeier model replacing the integer derivative by a local fractional derivative. This derivative enables us to consider a wide range of systems with already well-known derivatives. We analyze the stability of this new model as well as the homotopic perturbation method. Finally, an inverse problem associated with a real data set is solved.</p>","PeriodicalId":53595,"journal":{"name":"Journal of Transatlantic Studies","volume":"15 1","pages":"16447-16470"},"PeriodicalIF":0.0000,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a generalized Klausmeier model.\",\"authors\":\"Martha Paola Cruz de la Cruz, Daniel Alfonso Santiesteban, Luis Miguel Martín Álvarez, Ricardo Abreu Blaya, Hernández-Gómez Juan Carlos\",\"doi\":\"10.3934/mbe.2023734\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>In this paper we study a generalized Klausmeier model replacing the integer derivative by a local fractional derivative. This derivative enables us to consider a wide range of systems with already well-known derivatives. We analyze the stability of this new model as well as the homotopic perturbation method. Finally, an inverse problem associated with a real data set is solved.</p>\",\"PeriodicalId\":53595,\"journal\":{\"name\":\"Journal of Transatlantic Studies\",\"volume\":\"15 1\",\"pages\":\"16447-16470\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-08-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Transatlantic Studies\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.3934/mbe.2023734\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Transatlantic Studies","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.3934/mbe.2023734","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
In this paper we study a generalized Klausmeier model replacing the integer derivative by a local fractional derivative. This derivative enables us to consider a wide range of systems with already well-known derivatives. We analyze the stability of this new model as well as the homotopic perturbation method. Finally, an inverse problem associated with a real data set is solved.
期刊介绍：
The Journal of Transatlantic Studies is the official journal of the Transatlantic Studies Association. It began publication in 2003. The focus is on the transatlantic region broadly defined to include the Americas and the Caribbean in the west and Europe extending to Russia the Middle East and Africa in the east.The Journal explores and provides multi-disciplinary analysis of this vital region of the world through engagement principally with: - History - Literature - IR and Security Studies - International Law and Organisation - Culture and Race - Slavery and Migration - Film - Economics and Business Studies - Planning and the Environment It is published quarterly and accepts proposals for themed issues as well as individual articles between 5-12,000 words in length. It also has a short book review section. Two peer reviewers evaluate all submissions and any manuscript that divides opinion is then submitted to a third peer reviewer for a final decision. The JTS aims to provide decisions on submissions within 12 weeks.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
