Year: 2025
Type: article
Abstract: Fractional differential equations are commonly employed to characterize the long-term interactions of nonlinear systems, although they complicate inverse problems and numerical treatment. This article extends projection methods in order to numerically solve fractional differential equations. We propose a new projection approach for solving initial fractional problems based on the Jacobi weight function, employing a variety of generalized Jacobi polynomials with the indices σ,ρ∈R. This symmetry yields some intriguingly novel outcomes. The order of convergence for this method is given in appropriately weighted Sobolev spaces.
Source: Fractal and Fractional
Author: Saeed Althubiti
Institution: Taif University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,258
Funder: Taif University
OpenAlex ID: W4415684094