On Existence of Sequences of Weak Solutions of Fractional Systems with Lipschitz Nonlinearity

Abstract

In this article, the variational method together with two control parameters is used for introducing the proof for the existence of infinitely many solutions for a new class of perturbed nonlinear system having p -Laplacian fractional-order differentiation.

Certain fractional formulas of the extended k-hypergeometric functions

“…This approach allows the related research work to be reported in further articles. Additionally, all the outcomes presented here are expected to find some applications in control theory and to the solutions of fractional-order systems, for instance, see [43][44][45][46][47] and the references cited therein.…”