Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions

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Stability of the fractional Volterra integro‐differential equation by means of ψ‐Hilfer operator (2018, unknown): “∫ 0 αψ (t, s) (t, s, f (s)) ds ‖‖‖‖‖‖C1−ζ ;ψ ≤ φ (t) , (18)”
Existence results of Hilfer integro-differential equations with fractional order (2020, methodology): “The couple of parameter family of fractional derivative with ζ, η permits one to interpolate between the R-L and the Caputo derivative discussed in Hilfer [8, 10, 11, 22, 31] fractional derivative.”
Caputo-Hadamard fractional differential equations in banach spaces (2018, background): “For some fundamental results in the theory of fractional calculus and fractional differential equations we refer the reader to the monographs of Abbas et al. [2, 3, 4], Samko et al. [21], Kilbas et al. [15] and Zhou [24], the papers by Abbas et al. [1, 5, 6, 7], Lakshmikantham et al. [16], Machado a”