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Optimal controls for a class of impulsive Katugampola fractional differential equations with nonlocal conditions - MaRDI portal

Optimal controls for a class of impulsive Katugampola fractional differential equations with nonlocal conditions (Q2220510)

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Optimal controls for a class of impulsive Katugampola fractional differential equations with nonlocal conditions
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    Optimal controls for a class of impulsive Katugampola fractional differential equations with nonlocal conditions (English)
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    25 January 2021
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    Summary: In this paper, we investigate a class of impulsive Katugampola fractional differential equations with nonlocal conditions in a Banach space. First, by using a fixed-point theorem, we obtain the existence results for a class of impulsive Katugampola fractional differential equations. Secondly, we derive the sufficient conditions for optimal controls by building approximating minimizing sequences of functions twice.
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    impulsive Katugampola fractional differential equations
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    Banach space
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    fixed-point theorem
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    optimal control
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