Solvability for the ψ-Caputo-Type Fractional Differential System with the Generalized p-Laplacian Operator

In this article, by combining a recent critical point theorem and several theories of the ψ-Caputo fractional operator, multiplicity results at least three distinct weak solutions are obtained for new ψ-Caputo-type differential system including generalized p-Laplacian operator. It is noted that nonlinear functions do not need to adapt certain asymptotic conditions in paper, but, instead, replaced some simple algebraic conditions. Moreover, an evaluation criterion equation without also provided. Finally, two examples given demonstrate operator more accurate can deal with complex modeling problems changing different weight functions.