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Some results of linear fractional order time-delay system. (English) Zbl 1138.34328
Summary: We prove existence and uniqueness theorems for $$\cases D^\alpha x(t)=A_0x(t)+A_1x(t-r)+f(t),\quad & t\ge 0\\ x(t)=\phi(t),\quad t\in[-r,0],\endcases$$ Moreover, sufficient conditions for the finite time stability, for the particular class of fractional time-delay system are obtained.

##### MSC:
 34K05 General theory of functional-differential equations 34K20 Stability theory of functional-differential equations 26A33 Fractional derivatives and integrals (real functions)
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##### References:
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