Existence and uniqueness of mild and strong solutions for Hilfer fractional semilinear evolution equations are established using Banach fixed point theorem and Gronwall inequality.
and Wang, Q., The existence and uniqueness of mild solut ions for fractional differential equations with nonlocal conditions of order 1 < α < 2, Comp
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Mild and strong solutions for Hilfer evolution equation
Existence and uniqueness of mild and strong solutions for Hilfer fractional semilinear evolution equations are established using Banach fixed point theorem and Gronwall inequality.