Numerical method for fractional variational problems by Müntz-Legendre polynomials

Key Points

• The approach delivers enhanced accuracy in solving fractional variational problems through polynomial techniques, with significant computational efficiency.
• Evaluations show improvements in approximation results, notably achieving 98% accuracy in specific cases.
• Incorporating Müntz-Legendre polynomials facilitates better convergence in numerical solutions of variational problems when compared to traditional methods.
• Potential applications are vast, especially in engineering and physics, where such fractional problems are commonly encountered.