Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations
نویسندگان
چکیده
For more details as regards semigroup theory of operators, see [1]. Fractional differential equations have been widely applied in many important areas, including thermodynamics, porous media, plasma dynamics, cosmic rays, continuum mechanics, electrodynamics, quantummechanics, biological systems and prime number theory [2, 3]. In particular, the fractional diffusion equations have been successfully used in modeling anomalous diffusion processes with continuous time random walks [4].
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