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Abstract
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In this paper, a tripled fractional differential system is introduced as three associated
impulsive equations. The existence investigation of the solution is based on contraction principle
and measures of noncompactness in terms of tripled fixed point and modulus of continuity. Our
results are valid for both Kuratowski and Hausdorff measures of noncompactness. As an application,
we apply the obtained results to a control problem.
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