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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
45J05 Integro-ordinary differential equations
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