In fractional derivatives, the order of fractional derivatives may be used as chaos control parameter or not?

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Salman Khan

Yes, one can use the order of fractional derivative as control parameter. For example, in case of study of fractional derivatives with Riemann-Liouville operator the order of derivative is very important and it makes system chaotic for some values. Moreover, by changing value of order parameter sometimes chaos can be eliminated.

Jan Rashid

Thank you so much

Mohammad Sharif Ullah

Yeah, lower order fraction-order makes a chaotic solution into a stable solution.