Solvability of a boundary value problem for singular multi-term fractional differential system with impulse effects. (English) Zbl 1371.34018
Summary: In this article, we first of all convert the boundary value problems for impulsive fractional differential equations to integral equations. Second, we construct a weighted function space and prove the completely continuous property of a nonlinear operator. Finally, we establish existence results for solutions of a boundary value problem for a nonlinear impulsive fractional differential system. Our analysis relies on the well-known Schauder fixed point theorem. An example is given to illustrate main results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34B37 | Boundary value problems with impulses for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
impulsive multi-term fractional differential system; boundary value problem; Schauder’s fixed point theoremReferences:
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