Solutions of unified fractional Schrödinger equations. (English) Zbl 1234.35296
Summary: We obtain the solution of a unified fractional Schrödinger equation. The solution is derived by the application of the Laplace and Fourier transforms in closed form in terms of the Mittag-Leffler function. The result obtained here is quite general in nature and capable of yielding a very large number of results (new and known) hitherto scattered in the literature. Most of results obtained are in a form suitable for numerical computation.
MSC:
| 35R11 | Fractional partial differential equations |
| 35Q41 | Time-dependent Schrödinger equations and Dirac equations |
| 33E12 | Mittag-Leffler functions and generalizations |
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