Rational Approximations for the Oscillatory Two-Parameter Mittag–Leffler Function
Aljowhara H. Honain,
Khaled M. Furati,
Ibrahim O. Sarumi
et al.
Abstract:The two-parameter Mittag–Leffler function Eα,β is of fundamental importance in fractional calculus, and it appears frequently in the solutions of fractional differential and integral equations. However, the expense of calculating this function often prompts efforts to devise accurate approximations that are more cost-effective. When α>1, the monotonicity property is largely lost, resulting in the emergence of roots and oscillations. As a result, current rational approximants constructed mainly for α∈(0,1) o… Show more
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