Solving fractional Bagley-Torvik equation by fractional order Fibonacci wavelet arising in fluid mechanics
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Date
2023-05
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Abstract
This study introduces a new fractional order Fibonacci wavelet technique proposed for solving the frac tional Bagley-Torvik equation (BTE), along with the block pulse functions. To convert the specified initial
and boundary value problems into algebraic equations, the Riemann–Liouville (R-L) fractional integral
operator is defined, and the operational matrices of fractional integrals (OMFI) are built. This numerical
scheme’s performance is evaluated and examined on particular problems to show its proficiency and
effectiveness, and other methods that are accessible in the current literature are compared. The numer ical results demonstrate that the approach produces extremely precise results and is computationally
more decisive than previous methods.