Dear friend,

Thanks for your answer.

Could you give me a idea.

How it will possible?

I do not know any research on fractional calculus under nanotechnology as of the moment, but for sure we're getting there. There are already many papers that are using microelectronics technology in the design of fractional-order systems, e.g. http://vixra.org/pdf/1401.0016v1.pdf. 

It was theorized that fractional-order dynamics are exhibited by practical memristors. Memristors were discovered by HP a few years back by accident through nanotechnology. You may check https://www.researchgate.net/publication/224190382_Fractional-Order_Memristor-Based_Chua%27s_Circuit.

Article Fractional-Order Memristor-Based Chua's Circuit

When memristors were discovered in 2007 in HP through nanotechnology, it was shown that these devices are able to function as a resistor that varies in value having its own memory. These devices could be modeled using fractional calculus. I already saw papers about memristors and fractional-order elements combined. You may check it out in a simple search.