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math.AP2016★ 1 cited
The time fractional Schrödinger equation on Hilbert space
Przemysław Górka, Humberto Prado, Juan Trujillo
We study the linear fractional Schrödinger equation on a Hilbert space, with a fractional time derivative of order and a self-adjoint generator Using the spectral the…
math.AP2016
Nonlinear pseudo-differential equations defined by elliptic symbols on ${\lp}$ and the fractional Laplacian
Mauricio Bravo, Humberto Prado, Enrique G. Reyes
We develop an -functional calculus appropriated for interpreting "non-classical symbols" of the form , and for proving existence in , s…