Affiliation:
1. Department of Mathematics, Faculty of Technology and Education, Helwan University, Cairo 11281, Egypt
Abstract
The current study discusses a novel approach for numerically solving MTVO-TFDWEs under various conditions, such as IBCs and DBCs. It uses a class of GSJPs that satisfy the given conditions (IBCs or DBCs). One of the important parts of our method is establishing OMs for Ods and VOFDs of GSJPs. The second part is using the SCM by utilizing these OMs. This algorithm enables the extraction of precision and efficacy in numerical solutions. We provide theoretical assurances of the treatment’s efficacy by validating its convergent and error investigations. Four examples are offered to clarify the approach’s practicability and precision; in each one, the IBCs and DBCs are considered. The findings are compared to those of preceding studies, verifying that our treatment is more effective and precise than that of its competitors.
Reference58 articles.
1. Numerical solutions and geometric attractors of a fractional model of the cancer-immune based on the Atangana–Baleanu–Caputo derivative and the reproducing kernel scheme;Maayah;Chinese J. Phys.,2022
2. A numerical method for solving conformable fractional integrodifferential systems of second-order, two-points periodic boundary conditions;Berredjem;Alex. Eng. J.,2022
3. A spline construction scheme for numerically solving fractional Bagley–Torvik and Painlevé models correlating initial value problems concerning the Caputo–Fabrizio derivative approach;Arqub;Int. J. Mod. Phys. C,2023
4. Almeida, R., Tavares, D., and Torres, D.F.M. (2019). The Variable-Order Fractional Calculus of Variations, Springer.
5. Podlubny, I. (1999). Fractional Differential Equations, Academic Press.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献