Fractional Kirchhoff-type systems via sub-supersolutions method in ℍ^α ,β ;ψ_p(Ω )

In the present paper, we first establish a version of the abstract lower and upper-solution method for our class of operators. In this sense, we investigated the main objective of this paper, that is, the existence of a positive solution for a new class of fractional systems of the Kirchhoff type with ψ -Hilfer operators via the method of sub and supersolutions in ψ -fractional space ℍ^α ,β ;ψ_p(Ω ) .