Geodesic
Abstract Multi-term Fractional Differential Equations
Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 51 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The present paper is an addendum to our recent work on abstract time-fractional equations of the following form: \begin{align}abel{eq0.1} {\mathbf D}_{t}^{lpha_{n}}u(t)+ umimits_{i=1}^{n-1}A_{i}{\mathbf D}_{t}^{lpha_{i}}u(t)= A{\mathbf D}_{t}^{lpha}u(t)+f(t),\quad t > 0, u^{(k)}(0)=u_k,\quad k=0,\cdots, ceil lpha_{n}\rceil -1, \end{align} where $n\in {\mathbb N}\setminus \{1\}$, $A$ and $A_{1},\cdots, A_{n-1}$ are closed linear operators on a sequentiallycomplete locally convex space $X$, $0 eq lpha_{1}\cdots
Classification : 47D06 47D62 47D60 47D99
Keywords: Abstract time-fractional equations, $k$-regularized $(C_{1}, C_{2})$-existence and uniqueness families, Abstract Volterra equations 
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     author = {C. G. Li and M. Kosti\'c and M. Li},
     title = {Abstract {Multi-term} {Fractional} {Differential} {Equations}},
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C. G. Li; M. Kostić; M. Li. Abstract Multi-term Fractional Differential Equations. Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 51 . http://geodesic.mathdoc.fr/item/KJM_2014_38_1_a3/