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Fractals pp 171-181 | Cite as

Local Fractional Calculus: a Calculus for Fractal Space-Time

  • Kiran M. Kolwankar
  • Anil D. Gangal

Abstract

Recently, new notions such as local fractional derivatives and local fractional differential equations were introduced. Here we argue that these developments provide a possible calculus to deal with phenomena in fractal space-time. We show how the usual calculus is generalized to deal with non Lipschitz functions. We also indicate how a definition of a fractal measure arises from these developments much the same way as the Lebesgue measure from ordinary calculus.

Keywords

Fractional Order Fractional Derivative Fractional Calculus Fractional Differential Equation Hausdorff Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 1999

Authors and Affiliations

  • Kiran M. Kolwankar
    • 1
  • Anil D. Gangal
    • 2
  1. 1.Department of MathematicsIndian Institute of ScienceBangaloreIndia
  2. 2.Department of PhysicsUniversity of PunePuneIndia

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