Abstract
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 \(\psi \)-Hilfer operators via the method of sub and supersolutions in \(\psi \)-fractional space \(\mathbb {H}^{\alpha ,\beta ;\psi }_{p}(\Omega )\).
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Sousa, J.V.d.C. Fractional Kirchhoff-type systems via sub-supersolutions method in \(\mathbb {H}^{\alpha ,\beta ;\psi }_{p}(\Omega )\). Rend. Circ. Mat. Palermo, II. Ser 73, 675–687 (2024). https://doi.org/10.1007/s12215-023-00942-z
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DOI: https://doi.org/10.1007/s12215-023-00942-z