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In this paper, we discuss the asymptotic behavior of solution to nonlocal initial value problems of nonlinear fractional order functional differential equations in a Banach space. We prove our results with the assumption that $\{-A(t):t \geq 0\}$ generates a resolvent operator family and nonlinear part is a Lipschitz continuous function. Also, we assume that $-A(t)$ generates the analytic semigroup for each $t \geq 0$. At the end a fractional order partial differential equation is given to illustrate the obtained abstract results. |
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