4.7 Article

Integrals and derivatives on net fractals

Journal

CHAOS SOLITONS & FRACTALS
Volume 16, Issue 1, Pages 107-117

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0960-0779(02)00211-4

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In this paper a framework of calculus on net fractals is built. Integrals and derivatives of functions in net measure are discussed. Approximate calculations of the integrals and derivatives and approximate solutions to the inverse problem of integrals in net measure are given. In addition, applications of the calculus in some physical systems, such as in diffusion processes and in memory processes are given. (C) 2002 Elsevier Science Ltd. All rights reserved.

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