Initial value problem for fractional evolution equations
This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means of fixed point theorem for condensing maps. The results extend some related results in this di...
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| Published in | Advances in difference equations Vol. 2012; no. 1; pp. 1 - 10 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cham
Springer International Publishing
19.04.2012
Springer Nature B.V BioMed Central Ltd |
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| Abstract | This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means of fixed point theorem for condensing maps. The results extend some related results in this direction.
Mathematics Subject Classification (2000)
: 34A12; 35F25. |
|---|---|
| AbstractList | This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means of fixed point theorem for condensing maps. The results extend some related results in this direction.Mathematics Subject Classification (2000): 34A12; 35F25. This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means of fixed point theorem for condensing maps. The results extend some related results in this direction. Mathematics Subject Classification (2000): 34A12; 35F25.[PUBLICATION ABSTRACT] This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means of fixed point theorem for condensing maps. The results extend some related results in this direction. Mathematics Subject Classification (2000) : 34A12; 35F25. |
| ArticleNumber | 49 |
| Author | Mu, Jia Fan, Hongxia |
| Author_xml | – sequence: 1 givenname: Hongxia surname: Fan fullname: Fan, Hongxia email: lzfanhongxia@163.com organization: Department of Mathematics, Lanzhou Jiaotong University, Department of Mathematics, Northwest Normal University – sequence: 2 givenname: Jia surname: Mu fullname: Mu, Jia organization: Department of Mathematics, Northwest Normal University |
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| CitedBy_id | crossref_primary_10_1007_s12591_020_00514_y crossref_primary_10_4134_JKMS_2014_51_6_1123 crossref_primary_10_1080_00036811_2014_986653 crossref_primary_10_1186_s13662_018_1519_9 |
| Cites_doi | 10.1016/j.nonrwa.2010.05.029 10.1016/j.jmaa.2006.05.061 10.1016/j.camwa.2009.06.026 10.1063/1.470346 10.1007/978-1-4613-1281-9 10.1080/00036810802307579 10.1016/j.aml.2007.09.006 10.1007/978-3-662-00547-7 10.1016/j.na.2007.08.042 10.1007/s10440-008-9356-6 10.4067/S0719-06462010000300003 10.1016/S0960-0779(01)00208-9 10.1016/S0006-3495(95)80157-8 10.1016/j.camwa.2011.04.027 10.1016/j.na.2007.09.008 10.1142/3779 |
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| Copyright | Fan and Mu; licensee Springer. 2012. This article is published under license to BioMed Central Ltd. This is an open access article distributed under the terms of the Creative Commons Attribution License ( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Springer International Publishing AG 2012 |
| Copyright_xml | – notice: Fan and Mu; licensee Springer. 2012. This article is published under license to BioMed Central Ltd. This is an open access article distributed under the terms of the Creative Commons Attribution License ( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. – notice: Springer International Publishing AG 2012 |
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| Keywords | fractional evolution equations mild solutions condensing maps initial value problem measure of noncompactness |
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