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The constant variation formulae for singular fractional differential systems with delay. (English) Zbl 1189.34153
Summary: This paper considers the Caputo singular fractional differential systems with delay, and the Riemann-Liouville singular fractional differential systems with delay. A new function $\alpha -\delta$ is defined. By the $D$ - inverse matrix and $\alpha -\delta$ function, two fundamental solutions are given. The constant variation formulae for singular fractional differential systems with delay are obtained.
##### MSC:
 34K37 Functional-differential equations with fractional derivatives 26A33 Fractional derivatives and integrals (real functions) 45J05 Integro-ordinary differential equations
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