Abstract
AbstractThe Lp‐coercive properties of a nonlocal fractional elliptic equation is studied. Particularly, it is proved that the fractional elliptic operator generated by this equation is sectorial in Lp space and also is a generator of an analytic semigroup. Moreover, by using the Lp‐separability properties of the given elliptic operator the maximal regularity of the corresponding nonlocal fractional parabolic equation is established.
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