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• W2782949551 abstract "Abstract We consider the fractional retarded evolution equations $$^{C}D_{t}^{q}u(t)+Au(t)=fBig(t,u_t,int_{0}^{t}w(t,s,u_s)dsBig),quad tin[0,a],$$ where $^{C}D_{t}^{q}$ , $qin(0,1]$ , is the fractional derivative in the Caputo sense, $-A$ is the infinitesimal generator of a $C_0$ -semigroup of uniformly bounded linear operators $T(t)$ $(tgeq0)$ on a Banach space $X$ and the nonlinear operators $f$ and $w$ are given functions satisfying some assumptions, subjected to a general mixed nonlocal plus local initial condition of the form $u(t)=g(u)(t)+phi(t)$ , $tin[-h,0]$ . Under more general conditions, the existence of mild solutions and positive mild solutions are obtained by means of fractional calculus and fixed point theory for condensing maps. Moreover, we present an example to illustrate the application of abstract results." @default.
• W2782949551 created "2018-01-26" @default.
• W2782949551 creator A5058727041 @default.
• W2782949551 creator A5079817584 @default.
• W2782949551 date "2018-02-23" @default.
• W2782949551 modified "2023-09-26" @default.
• W2782949551 title "Fractional Retarded Evolution Equations with Measure of Noncompactness Subjected to Mixed Nonlocal Plus Local Initial Conditions" @default.
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• W2782949551 doi "https://doi.org/10.1515/ijnsns-2017-0098" @default.
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