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The particular solution and Ulam stability of linear Riemann-Liouville fractional dynamic equations on isolated time scales. (English) Zbl 1465.34103

Summary: By using the Laplace transform method on isolated time scales, this paper deals with the particular solution and the Ulam stability of linear Riemann-Liouville fractional dynamic equations with constant coefficients.

MSC:

34N05 Dynamic equations on time scales or measure chains
34A08 Fractional ordinary differential equations
34A05 Explicit solutions, first integrals of ordinary differential equations
44A10 Laplace transform
34D10 Perturbations of ordinary differential equations
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