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We characterize the Lp-well-posedness (resp. $$B_{p,q}^s$$ -well-posedness) for the fractional degenerate differential equations with finite delay: $$D^\alpha(Mu)(t)=Au(t)+Gu'_t+Fu_t+f(t),\;\;\;(t\in[0,2\pi]),$$ where α > 0 is fixed and A, M are closed linear operators… Click to show full abstract
We characterize the Lp-well-posedness (resp. $$B_{p,q}^s$$ -well-posedness) for the fractional degenerate differential equations with finite delay: $$D^\alpha(Mu)(t)=Au(t)+Gu'_t+Fu_t+f(t),\;\;\;(t\in[0,2\pi]),$$ where α > 0 is fixed and A, M are closed linear operators in a Banach space X satisfying D(A) ∩ D(M) ≠ {0}, F and G are bounded linear operators from Lp([-2π,0];X) (resp. $$B_{p,q}^s$$ ([-2π,0];X)) into X. We also give a new example to which our abstract results may be applied.
Journal Title: Israel Journal of Mathematics
Year Published: 2019
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