EXISTENCE OF MILD SOLUTIONS TO SEMILINEAR FRACTIONAL ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| Authors: | Heping Jiang Wei Jiang |
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| Affiliation: | Heping Jiang(Dept. of Math.,Huangshan University,Huangshan 245041,Anhui) Wei Jiang(School of Mathematical Science,University of Anhui,Hefei 230039) |
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| Abstract: | ![]()
In this paper,we use the analytic semigroup theory of linear operators and fixed point method to prove the existence of mild solutions to a semilinear fractional order functional differential equations in a Banach space. |
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| Keywords: | mild solutions fractional order functional differential equations Banach fixed point theorem analytic semigroup |
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