Journal
CHAOS SOLITONS & FRACTALS
Volume 102, Issue -, Pages 396-406Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2017.04.027
Keywords
Fractal fractional calculus; Non-locality; Non-singularity; Numerical approximation
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New operators of differentiation have been introduced in this paper as convolution of power law, exponential decay law, and generalized Mittag-Leffler law with fractal derivative. The new operators will be referred as fractal-fractional differential and integral operators. The new operators aimed to attract more non-local natural problems that display at the same time fractal behaviors. Some new properties are presented, the numerical approximation of these new operators are also presented with some applications to real world problem. (C) 2017 Elsevier Ltd. All rights reserved.
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