期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 64, 期 6, 页码 1616-1626出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2012.01.009
关键词
Fractional derivatives; Riemann-Liouville fractional derivative; Caputo fractional derivative; Fractional differential equation; Generalized Riemann-Liouville fractional derivative
资金
- King Fahd University of Petroleum and Minerals [IN 101003]
- BAE Systems through the PDSR program by the British Council in Saudi Arabia
We consider an initial value problem for a class of nonlinear fractional differential equations involving Hilfer fractional derivative. We prove existence and uniqueness of global solutions in the space of weighted continuous functions. The stability of the solution for a weighted Cauchy-type problem is also analyzed. (c) 2012 Elsevier Ltd. All rights reserved.
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