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Fractional Differential Equations最新文献

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Fractional Duhamel principle 分数Duhamel原理
Fractional Differential Equations Pub Date : 2019-02-18 DOI: 10.1515/9783110571660-017
S. Umarov
{"title":"Fractional Duhamel principle","authors":"S. Umarov","doi":"10.1515/9783110571660-017","DOIUrl":"https://doi.org/10.1515/9783110571660-017","url":null,"abstract":"","PeriodicalId":313977,"journal":{"name":"Fractional Differential Equations","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115460264","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
Symmetries and group invariant solutions of fractional ordinary differential equations 分数阶常微分方程的对称性与群不变解
Fractional Differential Equations Pub Date : 2019-02-18 DOI: 10.1515/9783110571660-004
R. Gazizov, A. A. Kasatkin, S. Lukashchuk
{"title":"Symmetries and group invariant solutions of fractional ordinary differential equations","authors":"R. Gazizov, A. A. Kasatkin, S. Lukashchuk","doi":"10.1515/9783110571660-004","DOIUrl":"https://doi.org/10.1515/9783110571660-004","url":null,"abstract":"","PeriodicalId":313977,"journal":{"name":"Fractional Differential Equations","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121698771","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: 11
Layer potentials for the time-fractional diffusion equation 时间分数扩散方程的层势
Fractional Differential Equations Pub Date : 2019-02-18 DOI: 10.1515/9783110571660-009
J. Kemppainen
{"title":"Layer potentials for the time-fractional diffusion equation","authors":"J. Kemppainen","doi":"10.1515/9783110571660-009","DOIUrl":"https://doi.org/10.1515/9783110571660-009","url":null,"abstract":"","PeriodicalId":313977,"journal":{"name":"Fractional Differential Equations","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117157508","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
Inverse problems of determining coefficients of the fractional partial differential equations 确定分数阶偏微分方程系数的反问题
Fractional Differential Equations Pub Date : 2019-02-18 DOI: 10.1515/9783110571660-020
Zhi-yuan Li, Masahiro Yamamoto
{"title":"Inverse problems of determining coefficients of the fractional partial differential equations","authors":"Zhi-yuan Li, Masahiro Yamamoto","doi":"10.1515/9783110571660-020","DOIUrl":"https://doi.org/10.1515/9783110571660-020","url":null,"abstract":"When considering fractional diffusion equation as model equation in analyzing anomalous diffusion processes, some important parameters in the model, for example, the orders of the fractional derivative or the source term, are often unknown, which requires one to discuss inverse problems to identify these physical quantities from some additional information that can be observed or measured practically. This chapter investigates several kinds of inverse coefficient problems for the fractional diffusion equation.","PeriodicalId":313977,"journal":{"name":"Fractional Differential Equations","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127642308","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: 23
Fractional-hyperbolic equations and systems. Cauchy problem 分数-双曲方程和系统。柯西问题
Fractional Differential Equations Pub Date : 2019-02-18 DOI: 10.1515/9783110571660-010
A. Kochubei
{"title":"Fractional-hyperbolic equations and systems. Cauchy problem","authors":"A. Kochubei","doi":"10.1515/9783110571660-010","DOIUrl":"https://doi.org/10.1515/9783110571660-010","url":null,"abstract":"","PeriodicalId":313977,"journal":{"name":"Fractional Differential Equations","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116601026","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: 3
General theory of Caputo-type fractional differential equations 卡普托型分数阶微分方程的一般理论
Fractional Differential Equations Pub Date : 2019-02-18 DOI: 10.1515/9783110571660-001
K. Diethelm
{"title":"General theory of Caputo-type fractional differential equations","authors":"K. Diethelm","doi":"10.1515/9783110571660-001","DOIUrl":"https://doi.org/10.1515/9783110571660-001","url":null,"abstract":"","PeriodicalId":313977,"journal":{"name":"Fractional Differential Equations","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122057525","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
Fractional-parabolic equations and systems. Cauchy problem 分数抛物方程与系统。柯西问题
Fractional Differential Equations Pub Date : 2019-02-18 DOI: 10.1515/9783110571660-007
A. Kochubei
{"title":"Fractional-parabolic equations and systems. Cauchy problem","authors":"A. Kochubei","doi":"10.1515/9783110571660-007","DOIUrl":"https://doi.org/10.1515/9783110571660-007","url":null,"abstract":"","PeriodicalId":313977,"journal":{"name":"Fractional Differential Equations","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123532407","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: 3
Maximum principle for the time-fractional PDEs 时间分数偏微分方程的最大原理
Fractional Differential Equations Pub Date : 2019-02-18 DOI: 10.1515/9783110571660-014
Yuri Luchko, Masahiro Yamamoto
{"title":"Maximum principle for the time-fractional PDEs","authors":"Yuri Luchko, Masahiro Yamamoto","doi":"10.1515/9783110571660-014","DOIUrl":"https://doi.org/10.1515/9783110571660-014","url":null,"abstract":"","PeriodicalId":313977,"journal":{"name":"Fractional Differential Equations","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116164440","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: 12
Abstract nonlinear fractional evolution equations 抽象非线性分数进化方程
Fractional Differential Equations Pub Date : 2019-02-18 DOI: 10.1515/9783110571660-022
C. Lizama
{"title":"Abstract nonlinear fractional evolution equations","authors":"C. Lizama","doi":"10.1515/9783110571660-022","DOIUrl":"https://doi.org/10.1515/9783110571660-022","url":null,"abstract":"","PeriodicalId":313977,"journal":{"name":"Fractional Differential Equations","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134388944","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
Lyapunov-type inequalities for fractional boundary value problems 分数边值问题的lyapunov型不等式
Fractional Differential Equations Pub Date : 2019-02-18 DOI: 10.1515/9783110571660-006
M. Jleli, M. Kirane, B. Samet
{"title":"Lyapunov-type inequalities for fractional boundary value problems","authors":"M. Jleli, M. Kirane, B. Samet","doi":"10.1515/9783110571660-006","DOIUrl":"https://doi.org/10.1515/9783110571660-006","url":null,"abstract":"","PeriodicalId":313977,"journal":{"name":"Fractional Differential Equations","volume":"6 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131613750","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
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