期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 266, 期 -, 页码 850-859出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2015.05.144
关键词
Nonlocal initial value problem; Differential equations; Hiller fractional derivative; Existence
资金
- National Natural Science Foundation of China [11201091]
- Outstanding Scientific and Technological Innovation Talent Award of Education Department of Guizhou Province [[2014]240]
In this paper, we discuss the existence of solutions to nonlocal initial value problem for differential equations with Hilfer fractional derivative. To begin with, we establish an equivalent mixed type integral equation for our problem. Then, we utilize basic properties of Hilfer fractional calculus and fixed point methods to derive three fundamental existence results in the weighted space of continuous functions. Some examples are given to illustrate our results. (C) 2015 Elsevier Inc. All rights reserved.
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