Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 17, Issue 12, Pages 5151-5157Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2012.04.021
Keywords
Gruwald-Letnikov; Unified fractional derivative; Generalised fractional difference; Central derivatives
Categories
Funding
- Portuguese National Funds through the FCT - Foundation for Science and Technology [PEst-OE/EEI/UI0066/2011]
- MICINN [MTM2010-16499]
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A new fractional derivative of the Gruwald-Letnikov type is proposed and some properties are studied. The new definition incorporates both the forward and backward Gruwald-Letnikov and the two-sided fractional derivatives. Several properties of such generalized operator are presented, and some particular cases deduced. (C) 2012 Elsevier B.V. All rights reserved.
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