Existence of solutions for impulsive fractional differential equations with anti-periodic and integral jump conditions. (English) Zbl 1386.34114
Summary: In this paper we study the fractional differential equations with impulsive integral jump conditions involving lower order derivatives and antiperiodic boundary condition. Some sufficient conditions for the existence of solutions are derived by using the fixed point methods. An example is also presented to explain the main results.
MSC:
34K05 | General theory of functional-differential equations |
34B15 | Nonlinear boundary value problems for ordinary differential equations |
34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
34B37 | Boundary value problems with impulses for ordinary differential equations |
34A08 | Fractional ordinary differential equations |