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.
Highlights
One of the main applications of fractional calculus science is the fractional-order differential equations (FDEs)
Various natural phenomena are modeled mathematically through the FDEs, and this is evident in numerous areas of physics, engineering, chemistry, and other fields
More and more efforts have been made in the fractional calculus field especially in FDEs
Summary
One of the main applications of fractional calculus science is the fractional-order differential equations (FDEs). In [24], by using the variational method and solutions has been used to investigate the following class of perRicceri’s critical point theorems, the existence of three weak turbed nonlinear fractional p-Laplacian differential systems: In [25], the same last methods have been used for problem (5), the existence of multiplicity of weak solutions for the following perturbed nonlinear fractional differential systems: (
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