publication . Preprint . Article . Other literature type . 2015

# Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem

Liu, Yikan;
Open Access English
• Published: 23 Oct 2015
Abstract
Comment: 17 pages
Subjects
free text keywords: Mathematics - Analysis of PDEs, 35R11, 26A33, 35B50, 35R30, Modelling and Simulation, Computational Theory and Mathematics, Computational Mathematics http://dx.doi.org/10.1016/j.ca...
Other literature type . 2017
Provider: Datacite 24 references, page 1 of 2

 Adams E E and Gelhar L W 1992 Field study of dispersion in a heterogeneous aquifer 2. Spatial moments analysis Water Resources Res. 28 3293-3307 [OpenAIRE]

 Al-Refai M and Luchko Y 2015 Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives Appl. Math. Comput. 257 40-51

 Bazhlekova E 2013 Properties of the fundamental and the impulse-response solutions of multi-term fractional differential equations, in: V. Kiryakova (Ed.), Complex Analysis and Applications '13 (Proc. Intern. Conf., Sofia, 2013), Bulg. Acad. Sci. Sofia, pp. 55-64

 Evans L C 2010 Partial Differential Equations 2nd ed (Providence, RI: American Mathematical Society)

 Gilbarg D and Trudinger N S 2001 Elliptic Partial Differential Equations of Second Order (Berlin: Springer-Verlag)

 Hatano Y and Hatano N 1998 Dispersive transport of ions in column experiments: an explanation of long-tailed profiles Water Resources Res. 34 1027-1033

 Jin B, Lazarov R, Liu Y and Zhou Z 2015 The Galerkin finite element method for a multi-term timefractional diffusion equation J. Comput. Phys. 281 825-843 [OpenAIRE]

 Jin B, Lazarov R and Zhou Z 2013 Error estimates for a semidiscrete finite element method for fractional order parabolic equations SIAM J. Numer. Anal. 51 445-466

 Jin B and Rundell W 2015 A tutorial on inverse problems for anomalous diffusion processes Inverse Problems 31 035003

 Li Z, Liu Y and Yamamoto M 2015 Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients Appl. Math. Comput. 257 381-397

 Li Z and Yamamoto M 2013 Initial-boundary value problems for linear diffusion equation with multiple time-fractional derivatives arXiv:1306.2778v2

 Li Z and Yamamoto M 2015 Uniqueness for inverse problems of determining orders of multi-term timefractional derivatives of diffusion equation Appl. Anal. 94 570-579

 Liu Y, Rundell W and Yamamoto M 2015 Strong maximum principle for fractional diffusion equations and an application to an inverse source problem (submitted) arXiv:1507.00845v1

 Liu F, Zhuang P, Anh V, Turner I and Burrage K 2007 Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation Appl. Math. Comput. 191 12-20

 Luchko Y 2009 Maximum principle for the generalized time-fractional diffusion equation J. Math. Anal. Appl. 351 218-223 [OpenAIRE]

24 references, page 1 of 2 Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue
{"ft_lang_label":"__label__en","ft_lang_prob":0.67290133,"math_prob":0.7344868,"size":2530,"snap":"2020-45-2020-50","text_gpt3_token_len":690,"char_repetition_ratio":0.14251782,"word_repetition_ratio":0.021333333,"special_character_ratio":0.28300396,"punctuation_ratio":0.123667374,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97048575,"pos_list":[0,1,2,3,4,5,6,7,8,9,10],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-11-24T20:41:36Z\",\"WARC-Record-ID\":\"<urn:uuid:8b2dde1a-13ab-4c0c-847a-e570396bc0cf>\",\"Content-Length\":\"94550\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:af61eb6c-1973-412a-93d6-d38520e3d0fb>\",\"WARC-Concurrent-To\":\"<urn:uuid:bfa0fdcf-ec22-4daf-9fa2-2f689e3ebbcd>\",\"WARC-IP-Address\":\"213.135.60.173\",\"WARC-Target-URI\":\"https://explore.openaire.eu/search/publication?articleId=od________18::a36c61ebea8414405a7ca1e23cd80259\",\"WARC-Payload-Digest\":\"sha1:CIAIO7ECPQ2TVIEMCQTWJJTX55W5MLMX\",\"WARC-Block-Digest\":\"sha1:TEFK6YR4EZ76UNBIFNBIT7QGEOQRV4IT\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-50/CC-MAIN-2020-50_segments_1606141177566.10_warc_CC-MAIN-20201124195123-20201124225123-00174.warc.gz\"}"}