First considerations on regular and singular perturbations for fractional differential equations
نویسنده
چکیده
Regular and singular perturbations of fractional ordinary differential equations (fODEs) are considered. This is likely the first attempt to describe these problems. Similarities and differences between these cases and the analogous ones for classical (integer-order) differential equations are pointed out. Examples, including the celebrated Bagley-Torvik equations are discussed. Asymptotic-numerical treatments for such problems are presented. Key–Words: fractional (ordinary) differential equations, regular perturbations, singular perturbations
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