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arxiv: 1701.01054 · v1 · pith:RISGLF5Xnew · submitted 2017-01-03 · 🧮 math.CA · math-ph· math.MP

Non-local Integrals and Derivatives on Fractal Sets with Applications

classification 🧮 math.CA math-phmath.MP
keywords fractalnon-localderivativeslocalapplicationscantorcomparedderivative
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In this paper, we discussed the non-local derivative on the fractal Cantor set. The scaling properties are given for both local and non-local fractal derivatives. The local and non-local fractal differential equations are solved and compared and related physical models are suggested.

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