INFINITELY MANY SOLUTIONS FOR A NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEM WITHIMPULSIVE EFFECTS

Abstract. The existence of in nitely many solutions for a class of impulsivefractional boundary value problems is established. Our approach is based onrecent variational methods for smooth functionals de ned on reexive Banachspaces. Some recent results are extended and improved.

کلیدواژه ها:

Fractional di erential equations ، Impulsive e ects ، In nitely many solutions ، Variational methods.