Displaying similar documents to “On the stability of a fractional-order differential equation with nonlocal initial condition.”

On the nonlocal Cauchy problem for semilinear fractional order evolution equations

JinRong Wang, Yong Zhou, Michal Fečkan (2014)

Open Mathematics

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In this paper, we develop the approach and techniques of [Boucherif A., Precup R., Semilinear evolution equations with nonlocal initial conditions, Dynam. Systems Appl., 2007, 16(3), 507–516], [Zhou Y., Jiao F., Nonlocal Cauchy problem for fractional evolution equations, Nonlinar Anal. Real World Appl., 2010, 11(5), 4465–4475] to deal with nonlocal Cauchy problem for semilinear fractional order evolution equations. We present two new sufficient conditions on existence of mild solutions....