{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:08:40Z","timestamp":1740103720792,"version":"3.37.3"},"reference-count":26,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,10,13]],"date-time":"2020-10-13T00:00:00Z","timestamp":1602547200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Scientific Research Foundation of the Higher Education Institutions of Gansu Province","award":["2019B-022","31920180047","11080305"],"award-info":[{"award-number":["2019B-022","31920180047","11080305"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2019B-022","31920180047","11080305"],"award-info":[{"award-number":["2019B-022","31920180047","11080305"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Gansu Provincial First-Class Discipline Program of Northwest Minzu University","award":["2019B-022","31920180047","11080305"],"award-info":[{"award-number":["2019B-022","31920180047","11080305"]}]},{"name":"Innovation Team of Intelligent Computing and Dynamical System Analysis and Application of Northwest Minzu University","award":["2019B-022","31920180047","11080305"],"award-info":[{"award-number":["2019B-022","31920180047","11080305"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,10,13]]},"abstract":"<jats:p>In this paper, we investigate a class of nonautonomous fractional diffusion equations (NFDEs). Firstly, under the condition of weighted H\u00f6lder continuity, the existence and two estimates of classical solutions are obtained by virtue of the properties of the probability density function and the evolution operator family. Secondly, it focuses on the continuity and an estimate of classical solutions in the sense of fractional power norm. The results generalize some existing results on classical solutions and provide theoretical support for the application of NFDE.<\/jats:p>","DOI":"10.1155\/2020\/8844459","type":"journal-article","created":{"date-parts":[[2020,10,13]],"date-time":"2020-10-13T22:20:19Z","timestamp":1602627619000},"page":"1-9","source":"Crossref","is-referenced-by-count":0,"title":["Classical Solutions to the Initial-Boundary Value Problems for Nonautonomous Fractional Diffusion Equations"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6176-5950","authenticated-orcid":true,"given":"Jia","family":"Mu","sequence":"first","affiliation":[{"name":"Key Laboratory of Streaming Data Computing Technologies and Application, Northwest Minzu University, Lanzhou 730000, China"},{"name":"School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yang","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huanhuan","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.04.027"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2011.08.048"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.4236\/jamp.2018.61030"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1515\/cmam-2018-0185"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2013.07.035"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2016.04.039"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1002\/mma.5781"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1080\/07362994.2018.1436973"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1051\/mmnp\/2018004"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2006.6.895"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.indag.2014.01.002"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.4171\/jems\/710"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2020.2972403"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1007\/s11424-018-7265-y"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/7685460"},{"issue":"1","key":"16","first-page":"29","article-title":"The fundamental solutions for fractional evolution equations of parabolic type","volume":"11","author":"M. 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