Geodesic
Abstract Multi-term Fractional Differential Equations
Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 51
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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}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {51 },
     year = {2014},
     volume = {38},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2014_38_1_a3/}
}
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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/