{"title":"用含Coshx的模糊拉普拉斯变换求解模糊分数阶微分方程","authors":"S. R. Raj, J. Sangeetha","doi":"10.22457/ijfma.v14n2a6","DOIUrl":null,"url":null,"abstract":"In this paper we obtain the solution of fuzzy fractional differential equation (FFDEs) under Riemann Liouville H-differentiability using fuzzy Laplace transform. To solve fractional differential equation involving hyperbolic cosine function, we use Riemann Liouville to obtain the unknown solution at initial point or the solution with increasing length of their Hukuhara support using the fuzzy Laplace transform. Research work on analytical method to solve the FFDEs under Riemann Liouville Hdifferentiability is limited in the literature. To confirm the capability of the proposed method we present a problem and its analytical solution.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solving Fuzzy Fractional Differential Equation with Fuzzy Laplace Transform Involving Coshx\",\"authors\":\"S. R. Raj, J. Sangeetha\",\"doi\":\"10.22457/ijfma.v14n2a6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we obtain the solution of fuzzy fractional differential equation (FFDEs) under Riemann Liouville H-differentiability using fuzzy Laplace transform. To solve fractional differential equation involving hyperbolic cosine function, we use Riemann Liouville to obtain the unknown solution at initial point or the solution with increasing length of their Hukuhara support using the fuzzy Laplace transform. Research work on analytical method to solve the FFDEs under Riemann Liouville Hdifferentiability is limited in the literature. To confirm the capability of the proposed method we present a problem and its analytical solution.\",\"PeriodicalId\":385922,\"journal\":{\"name\":\"International Journal of Fuzzy Mathematical Archive\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Fuzzy Mathematical Archive\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22457/ijfma.v14n2a6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Fuzzy Mathematical Archive","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/ijfma.v14n2a6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文利用模糊拉普拉斯变换,得到了模糊分数阶微分方程在Riemann - Liouville h -可微条件下的解。对于包含双曲余弦函数的分数阶微分方程,我们采用Riemann Liouville方法,利用模糊拉普拉斯变换得到初始点的未知解或随Hukuhara支持长度增加的解。在黎曼-刘维尔可微性条件下求解FFDEs的解析方法研究有限。为了验证该方法的有效性,我们给出了一个问题及其解析解。
In this paper we obtain the solution of fuzzy fractional differential equation (FFDEs) under Riemann Liouville H-differentiability using fuzzy Laplace transform. To solve fractional differential equation involving hyperbolic cosine function, we use Riemann Liouville to obtain the unknown solution at initial point or the solution with increasing length of their Hukuhara support using the fuzzy Laplace transform. Research work on analytical method to solve the FFDEs under Riemann Liouville Hdifferentiability is limited in the literature. To confirm the capability of the proposed method we present a problem and its analytical solution.