Abstract
In this paper, a fractional Hamiltonian formulation for Duffin–Kemmer–Petiau’ (DKP) fields is presented and, as done in the framework of the Lagrangian formalism, the fractional DKP equation is deduced. The space-time fractional DKP equation is then solved for both scalar and vectorial cases. The wave functions obtained are expressed in terms of Mittag–Leffler function.
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