
The authors study fractional differential equations associated to the \(\alpha\)-derivative, where such equations appear in many problems. In particular, they obtain a fractional differential equation related to the classical Schrödinger equation by studying Nottale's approach to quantum mechanics via a fractal space-time.
Fractional derivatives and integrals, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), fractional differential equations, Schrödinger equation, \(\alpha\)-differential equations
Fractional derivatives and integrals, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), fractional differential equations, Schrödinger equation, \(\alpha\)-differential equations
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