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**Existence results for class of fractional order boundary value problems with integrable impulses.**
*(English)*
Zbl 1397.34135

Summary: In this article, we study existence and uniqueness results for fractional functional boundary value problems with integrable impulses. The Boyd and Wang, Schaefer’s and Burton and Kirk fixed point theorems on a complex Banach space are applied to obtain the main out comes. Also, we present examples to illustrate the claimed results.

### MSC:

34K37 | Functional-differential equations with fractional derivatives |

34K45 | Functional-differential equations with impulses |

34K10 | Boundary value problems for functional-differential equations |

47N20 | Applications of operator theory to differential and integral equations |

### Keywords:

fractional order differential equation; periodic boundary value problems; contractions; impulsive conditions; existence; uniqueness
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\textit{V. Gupta} and \textit{J. Dabas}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 25, No. 4, 267--285 (2018; Zbl 1397.34135)

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### References:

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