The hom-associative Weyl algebras in prime characteristic

We introduce the first hom-associative Weyl algebras over a field of prime characteristic as generalization associative algebra in characteristic. First, we study properties constructed from by general ``twisting'' procedure. Then, with help these results, determine commuter, center, nuclei, and set derivations algebras. also classify them up to isomorphism, show, among other things, that all nonzero endomorphisms on are injective, but not surjective. Last, show they can be described multi-parameter formal deformation algebra, this induces hom-Lie corresponding Lie when using commutator bracket.