It derives two representation formulas for solutions of linear Caputo fractional differential equations with variable coefficients and intermediate-point initial conditions, using a modified measurable forcing term that encodes the memory of the initial interval.
Bourdin, Cauchy–Lipschitz theory for fractional mul ti-order dy- namics: State-transition matrices, Duhamel formulas and d ual- ity theorems
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On representation formulas for solutions of linear differential equations with Caputo fractional derivatives
It derives two representation formulas for solutions of linear Caputo fractional differential equations with variable coefficients and intermediate-point initial conditions, using a modified measurable forcing term that encodes the memory of the initial interval.