Impulsive problems for fractional differential equations with nonlocal boundary value conditions (Q1724282)

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scientific article; zbMATH DE number 7022517
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Impulsive problems for fractional differential equations with nonlocal boundary value conditions
scientific article; zbMATH DE number 7022517

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    Impulsive problems for fractional differential equations with nonlocal boundary value conditions (English)
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    14 February 2019
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    Summary: We investigate the nonlocal boundary value problems of impulsive fractional differential equations. By Banach's contraction mapping principle, Schaefer's fixed point theorem, and the nonlinear alternative of Leray-Schauder type, some related new existence results are established via a new special hybrid singular type Gronwall inequality. At last, some examples are also given to illustrate the results.
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