An Implicit Hybrid Method for Solving Fractional Bagley-Torvik Boundary Value Problem

Muhammed I. Syam, Azza Alsuwaidi, Asia Alneyadi, Safa Al Refai and Sondos Al Khaldi
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Muhammed I. Syam: Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE
Azza Alsuwaidi: Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE
Asia Alneyadi: Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE
Safa Al Refai: Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE
Sondos Al Khaldi: Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE

Mathematics, 2018, vol. 6, issue 7, 1-11

Abstract: In this article, a modified implicit hybrid method for solving the fractional Bagley-Torvik boundary (BTB) value problem is investigated. This approach is of a higher order. We study the convergence, zero stability, consistency, and region of absolute stability of the modified implicit hybrid method. Three of our numerical examples are presented.

Keywords: fractional Bagley-Torvik boundary value problem; implicit hybrid one-step method; convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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