Block implicit Adams methods for fractional differential equations

• Published in: Chaos, solitons and fractals Vol. 81; pp. 365 - 377
• Main Authors: Biala, T.A., Jator, S.N.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.12.2015
• Subjects: Adams methods; Caputo derivatives; Fractional differential equations; Fractional partial differential equations; Initial value problems; 65L06; Fractional differential equations; 26A33; 65L20; Initial value problems; Adams methods; Fractional partial differential equations; Caputo derivatives

In this paper, we present a family of Implicit Adams Methods (IAMs) for the numerical approximation of Fractional Initial Value Problems (FIVP) with derivatives of the Caputo type. A continuous representation of the k-step IAM is developed via the interpolation and collocation techniques and adapted...