RT Journal Article
T1 An interpolation between the wave and diffusion equations through the fractional evolution equations Dirac like
A1 Pierantozzi, Teresa
A1 Vázquez Martínez, Luis
AB Through fractional calculus and following the method used by Dirac to obtain his well-known equation from the Klein-Gordon equation, we analyze a possible interpolation between the Dirac and the diffusion equations in one space dimension. We study the transition between the hyperbolic and parabolic behaviors by means of the generalization of the D’Alembert formula for the classical wave equation and the invariance under space and time inversions of the interpolating fractional evolution equations Dirac like. Such invariance depends on the values of the fractional index and is related to the nonlocal property of the time fractional differential operator. For this system of fractional evolution equations, we also find an associated conserved quantity analogous to the Hamiltonian for the classical Dirac case.
PB American Institute of Physics
SN 0022-2488
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/49682
UL https://hdl.handle.net/20.500.14352/49682
LA eng
DS Docta Complutense
RD 17 abr 2025