期刊
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS
卷 25, 期 4, 页码 557-586出版社
ROCKY MT MATH CONSORTIUM
DOI: 10.1216/JIE-2013-25-4-557
关键词
Fractional evolution equations; integral equations; Riemann-Liouville derivative; mild solutions; C-0 semigroup; measure of noncompactness
资金
- National Natural Science Foundation of P.R. China [11271309]
- Specialized Research Fund for the Doctoral Program of Higher Education [20114301110001]
- Hunan Provincial Natural Science Foundation of China [12JJ2001]
In this paper, we study the nonlocal Cauchy problems of fractional evolution equations with Riemann-Liouville derivative by considering an integral equation which is given in terms of probability density. By using the theory of Hausdorff measure of noncompactness, we establish various existence theorems of mild solutions for the Cauchy problems in the cases C-0 semigroup is compact or noncompact.
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