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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… Click to show full 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.
Keywords:
weakly asymptotic;
asymptotic stability;
fractional differential;
impulsive effects;
fixed point
Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2017
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Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!