On quotient semigroup

الملخص EN

In this paper, we introduce a new type of semigroup, namely (quotient semigroup) in differential equations with the functional analytic.

this semigroup constructs the solution of the partial differential equations as the form : ?(?) ℎ(?) ??(?, ?) ??= ?′(?) ℎ′(?) ??(?, ?) ??, ?ℎ??? ?(?) ?? ? ???????? ???ℎ ?ℎ?? ?(0)