Existence of solutions to a fractional differential equation in the Heisenberg group

. Introduction In this paper, we investigate a differential equation of fractional order by reformulating it in the form of a higher-order semi-linear parabolic equation with non-local nonlinearity in time. Our equation is as follows: 1.1. Equation formula                     (1) where , (constant),and the space  denotes the space of Hilbert, and is Heisenberg group. Equation …

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