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Fractional Newtonian mechanics

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Baleanu D., Golmankhaneh A., Nigmatullin R., Golmankhaneh A.
Open Physics
|
2010
|
vol. 8
|
issue 1
120-125
EN
In the present paper, we have introduced the generalized Newtonian law and fractional Langevin equation. We have derived potentials corresponding to different kinds of forces involving both the right and the left fractional derivatives. Illustrative examples have worked out to explain the formalism.
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About Maxwell’s equations on fractal subsets of ℝ3

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Golmankhaneh A., Golmankhaneh A., Baleanu D.
Open Physics
|
2013
|
vol. 11
|
issue 6
863-867
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.
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