Regularized Solutions for Abstract Volterra Equations

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Almost automorphic mild solutions to fractional differential equations (2008, background): “We note that α-resolvent families are a particular case of (a, k)-regularized families introduced in [18].”
Mild solutions for abstract fractional differential equations (2013, methodology): “2 [13] Let A be a closed linear densely defined operator in a Banach space X.”
On fractional powers of generators of fractional resolvent families (2010, unknown): “For more general resolvent families see [24, 25].”
On fractional resolvent operator functions (2010, methodology): “For basic properties of resolvent families we refer the reader to [3, 10 , 14, 18].”
Bounded Mild Solutions for Semilinear Integro Differential Equations in Banach Spaces (2010, methodology): “We note that solution operators, as well as resolvent families, are a particular case of ( b, k )-regularized families introduced in [29].”
S‐asymptotically ω‐periodic solutions for semilinear Volterra equations (2010, background): “According to [25] a solution operator S(t) corresponds to a (1, a)-regularized family.”
ON PERTURBATION OF K-REGULARIZED RESOLVENT FAMILIES (2003, background): “The notion of k-regularized resolvent has been recently introduced in [7] as well as some properties investigated (see [8]).”