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math.PR2011★ 25 cited
On the fractional counterpart of the higher-order equations
Mirko D'Ovidio
In this work we study the solutions to some fractional higher-order equations. Special cases in which time-fractional derivatives take integer values are also examined and the expl…
math.PR2011★ 14 cited
Vibrations and fractional vibrations of rods, plates and Fresnel pseudo-processes
Enzo Orsingher, Mirko D'Ovidio
Different initial and boundary value problems for the equation of vibrations of rods (also called Fresnel equation) are solved by exploiting the connection with Brownian motion and…