Liu, J. J.; Sun, C. L.; Yamamoto, M. Recovering the weight function in distributed order fractional equation from interior measurement. (English) Zbl 1486.65154 Appl. Numer. Math. 168, 84-103 (2021). MSC: 65M32 65M06 65N06 65K10 49N45 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{J. J. Liu} et al., Appl. Numer. Math. 168, 84--103 (2021; Zbl 1486.65154) Full Text: DOI
Li, Zhiyuan; Yamamoto, Masahiro Unique continuation principle for the one-dimensional time-fractional diffusion equation. (English) Zbl 1423.35404 Fract. Calc. Appl. Anal. 22, No. 3, 644-657 (2019). MSC: 35R11 35B53 44A10 PDFBibTeX XMLCite \textit{Z. Li} and \textit{M. Yamamoto}, Fract. Calc. Appl. Anal. 22, No. 3, 644--657 (2019; Zbl 1423.35404) Full Text: DOI arXiv
Huang, Xinchi; Li, Zhiyuan; Yamamoto, Masahiro Carleman estimates for the time-fractional advection-diffusion equations and applications. (English) Zbl 1418.35050 Inverse Probl. 35, No. 4, Article ID 045003, 36 p. (2019). MSC: 35B45 35R30 35R11 35K15 PDFBibTeX XMLCite \textit{X. Huang} et al., Inverse Probl. 35, No. 4, Article ID 045003, 36 p. (2019; Zbl 1418.35050) Full Text: DOI arXiv
Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem. (English) Zbl 1409.35221 Comput. Math. Appl. 73, No. 6, 1041-1052 (2017). MSC: 35R11 35B65 35R30 PDFBibTeX XMLCite \textit{Z. Li} et al., Comput. Math. Appl. 73, No. 6, 1041--1052 (2017; Zbl 1409.35221) Full Text: DOI
Cheng, Xing; Li, Zhiyuan; Yamamoto, Masahiro Asymptotic behavior of solutions to space-time fractional diffusion-reaction equations. (English) Zbl 1372.35333 Math. Methods Appl. Sci. 40, No. 4, 1019-1031 (2017). MSC: 35R11 35B40 44A10 42B10 PDFBibTeX XMLCite \textit{X. Cheng} et al., Math. Methods Appl. Sci. 40, No. 4, 1019--1031 (2017; Zbl 1372.35333) Full Text: DOI arXiv
Li, Zhiyuan; Imanuvilov, Oleg Yu; Yamamoto, Masahiro Uniqueness in inverse boundary value problems for fractional diffusion equations. (English) Zbl 1332.35396 Inverse Probl. 32, No. 1, Article ID 015004, 16 p. (2016). MSC: 35R30 35R11 35A02 PDFBibTeX XMLCite \textit{Z. Li} et al., Inverse Probl. 32, No. 1, Article ID 015004, 16 p. (2016; Zbl 1332.35396) Full Text: DOI arXiv
Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients. (English) Zbl 1338.35471 Appl. Math. Comput. 257, 381-397 (2015). MSC: 35R11 PDFBibTeX XMLCite \textit{Z. Li} et al., Appl. Math. Comput. 257, 381--397 (2015; Zbl 1338.35471) Full Text: DOI arXiv
Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations. (English) Zbl 1312.35184 Fract. Calc. Appl. Anal. 17, No. 4, 1114-1136 (2014). MSC: 35R11 35B40 35S11 44A10 PDFBibTeX XMLCite \textit{Z. Li} et al., Fract. Calc. Appl. Anal. 17, No. 4, 1114--1136 (2014; Zbl 1312.35184) Full Text: DOI