Eur. Phys. J. Plus (2015) 130: 121
https://doi.org/10.1140/epjp/i2015-15121-6

Regular Article

Time-reversal breaking in fractional differential problems

Facultad de Ciencias Fısico-Matemáticas, Universidad Michoacana, 58060, Morelia, Mexico

^* e-mail: rcampos@umich.mx

Received: 1 June 2015
Accepted: 5 June 2015
Published online: 26 June 2015

Abstract

A Cauchy-type integral formula is used to obtain the value of a fractional derivative of a power function at the negative real axis. This new result highlights the lack of time-reversal symmetry of a fractional differential operator of noninteger order in Newtonian mechanics.