RT info:eu-repo/semantics/article
T1 Almost Sectorial Operators in Fractional Superdiffusion Equations
A1 Cuesta Montero, Eduardo
A1 Ponce, Rodrigo
K1 Matemática aplicada
K1 Almost sectorial operators; Fractional differential equations; Resolvent families; Hölder regularity
K1 1202.15 Ecuaciones Integrales
AB In this paper the resolvent family {Sα,β(t)}t≥0 ⊂ L(X,Y) generated by an almostsectorial operator A, where α, β > 0, X , Y are complex Banach spaces and its Laplacetransform satisfies Sˆ (z) = zα−β(zα − A)−1 is studied. This family of operators α,βallows to write the solution to an abstract initial value problem of time fractional type of order 1 < α < 2 as a variation of constants formula. Estimates of the norm ∥Sα,β(t)∥, as well as the continuity and compactness of Sα,β(t), for t > 0, are shown. Moreover, the Hölder regularity of its solutions is also studied.
PB Springer
SN 0095-4616
YR 2024
FD 2024-12-02
LK https://uvadoc.uva.es/handle/10324/73623
UL https://uvadoc.uva.es/handle/10324/73623
LA eng
NO Applied Mathematics & Optimization, February 2025, 91, 2
NO Producción Científica
DS UVaDOC
RD 09-abr-2025