Fixed point approach for weakly asymptotic stability of fractional differential inclusions involving impulsive effects |
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Authors: | Tran Dinh Ke Do Lan |
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Affiliation: | 1.Department of Mathematics,Hanoi National University of Education,Hanoi,Vietnam;2.Faculty of Computer Engineering and Science,Thuyloi University,Hanoi,Vietnam |
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Abstract: | We prove the global solvability and weakly asymptotic stability for a semilinear fractional differential inclusion subject to impulsive effects by analyzing behavior of its solutions on the half-line. Our analysis is based on a fixed point principle for condensing multi-valued maps, which is employed for solution operator acting on the space of piecewise continuous functions. The obtained results will be applied to a lattice fractional differential system. |
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