Infinitely many solutions for perturbed impulsive fractional differential systems

Abstract

In this paper, the existence of infinitely many solutions for perturbed systems of impulsive non-linear fractional differential equations including Lipschitz continuous non-linear terms is discussed. The approach is based on variational methods. In addition, examples are presented to illustrate the feasibility and effectiveness of the main results.

Keywords:

• Infinity many solutions
• fractional differential equations
• impulsive effect
• variational methods
• critical point theory

AMS Subject Classifications:

• 26A33
• 34B15
• 35A15
• 34B15
• 34K45
• 58E05

Notes

No potential conflict of interest was reported by the authors.