About Maxwell’s equations on fractal subsets of ℝ3

• Authors: Alireza Golmankhaneh , Ali Golmankhaneh , Dumitru Baleanu
• Languages of publication: EN

Abstracts

EN

In this paper we have generalized $$F^{\bar \xi }$$-calculus for fractals embedding in ℝ3. $$F^{\bar \xi }$$-calculus is a fractional local derivative on fractals. It is an algorithm which may be used for computer programs and is more applicable than using measure theory. In this Calculus staircase functions for fractals has important role. $$F^{\bar \xi }$$-fractional differential form is introduced such that it can help us to derive the physical equation. Furthermore, using the $$F^{\bar \xi }$$-fractional differential form of Maxwell’s equations on fractals has been suggested.

Keywords

EN

fractal integral; fractal derivative; fractal differential equations; fractional Maxwell equation

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 6
• Pages: 863-867

Dates

published

1 - 6 - 2013

online

9 - 10 - 2013

Contributors

author

Alireza Golmankhaneh

• Departments of Physics, Urmia Branch, Islamic Azad University, P.O.BOX 969, Oromiyeh, Iran

author

Ali Golmankhaneh

• Departments of Physics, Urmia Branch, Islamic Azad University, P.O.BOX 969, Oromiyeh, Iran

author

Dumitru Baleanu

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Identifiers

DOI

10.2478/s11534-013-0192-6