On approximation and representation of K-regularized resolvent families

53 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Almost automorphic mild solutions to fractional differential equations (2008, background): “These are studied in a series of several papers in recent years (see [19], [20], [21], [25]).”
Approximate Controllability of Fractional Differential Equations with State-Dependent Delay (2012, background): “According to [28] a solution operator Sα(t) corresponds to a (1, t α−1 Γ(α) )-regularized family.”
On fractional powers of generators of fractional resolvent families (2010, unknown): “For more general resolvent families see [24, 25].”
Mild solutions for abstract fractional differential equations (2013, unknown): “5 [19] Let fkngn 0 2L(1)locðR þÞ and {an}n 02ACloc(R) be of type (M,!), ! 0, such that banð Þ 61⁄4 0 for >! and R1 0 e janðsÞjds51.”
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]).”
Approximate Controllability Results for Fractional Semilinear Integro-Differential Inclusions in Hilbert Spaces (2015, background): “We note that solution operators, as well as resolvent families, are a particular case of (a, k)-regularized families introduced in [32].”