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Numerical scheme for a two-term sequential fractional differential equation

Błasik M.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2011

Vol. 10, nr 2

17-29

A numerical scheme is constructed to solve two-term sequential fractional differential equations with the orders of Caputo derivatives in the range (0,1). The proposed method is based on a corresponding existence-uniqueness theorem and transformation of the SFDE into an equivalent fractional integral equation. Numerical solutions are compared to analytical ones in two cases. An example with multiple solutions is also discussed.