2: Exploring numerical algorithms for fractional model solutions
Abstract
This chapter focuses on exploring various numerical algorithms for solving fractional model solutions and provides a comprehensive exploration of various numerical algorithms for solving fractional model solutions. It begins by discussing the discretization of fractional integrals, including the fractional rectangular formulae, fractional trapezoidal formula, fractional Simpson's formula, fractional Newton–Cotes formula, and cubic spline interpolation. The chapter then moves on to the discretization of fractional derivatives, specifically the Riemann–Liouville derivative and the Caputo derivatives. It introduces a numerical method for solving fractional derivative problems ...
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