Iqbal M. Batiha1,2,*, Rania Saadeh3, Iqbal H. Jebril1, Ahmad Qazza3, Abeer A. Al-Nana4, Shaher Momani2,5
CMES-Computer Modeling in Engineering & Sciences, Vol.140, No.3, pp. 2729-2745, 2024, DOI:10.32604/cmes.2024.051588
Abstract The aim of this research is to demonstrate a novel scheme for approximating the Riemann-Liouville fractional integral operator. This would be achieved by first establishing a fractional-order version of the -point Trapezoidal rule and then by proposing another fractional-order version of the -composite Trapezoidal rule. In particular, the so-called divided-difference formula is typically employed to derive the -point Trapezoidal rule, which has accordingly been used to derive a more accurate fractional-order formula called the -composite Trapezoidal rule. Additionally, in order to increase the accuracy of the proposed approximations by reducing the true errors, we incorporate More >
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