Almost periodic solutions for impulsive fractional differential equations |
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| Authors: | Gani Tr Stamov Ivanka M Stamova |
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| Affiliation: | 1. Department of Mathematics, Technical University – Sofia, Sliven, Bulgaria;2. Department of Mathematics, The University of Texas at San Antonio, USA |
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| Abstract: | In this paper, we consider the existence of almost periodic solutions for impulsive fractional evolution equations involving Caputo fractional derivative. The main results are obtained by means of the theory of operators semi-group, probability density functions, fixed point theorems and the techniques based on fractional calculus. An example is also discussed to illustrate the theory. Some known results are improved and generalized. |
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| Keywords: | impulsive fractional differential equations almost periodic solutions |
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