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Solvability of impulsive periodic boundary value problems for higher order fractional differential equations. (English) Zbl 1360.34016

Summary: A class of periodic boundary value problems for higher order fractional differential equations with impulse effects is considered. We first convert the problem to an equivalent integral equation. Then, using a fixed-point theorem in Banach space, we establish existence results of solutions for this kind of boundary value problem for impulsive singular higher order fractional differential equations. Two examples are presented to illustrate the efficiency of the results obtained.

MSC:

34A08 Fractional ordinary differential equations
34B37 Boundary value problems with impulses for ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34A37 Ordinary differential equations with impulses
47N20 Applications of operator theory to differential and integral equations
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