Boundary value problems of the nonlinear multiple base points impulsive fractional differential equations with constant coefficients

Abstract

Abstract In this paper, the nonlinear multiple base points boundary value problems of the impulsive fractional differential equations are studied. By using the fixed point theorem and the Mittag-Leffler functions, the sufficient conditions for the existence of the solutions to the given problems are formulated. An example is presented to illustrate the result.

Keywords

• nonlinear multiple base points fractional differential equations
• boundary value problem
• impulsive condition
• Mittag-Leffler functions