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In the present paper, we first establish a version of the abstract lower andupper-solution method for our class of operators. In this sense, weinvestigated the main objective of this paper, that is, the existence of apositive solution for a new class of fractional systems of the Kirchhoff typewith $\psi$-Hilfer operators via the method of sub and supersolutions in$\psi$-fractional space $\mathbb{H}^{\alpha,\beta;\psi}_{p}(\Omega)$

Fractional Kirchhoff-type systems via sub-supersolutions method in $\mathbb{H}^{\alpha,\beta;\psi}_{p}(\Omega)$