Showing math.NAShow all
2 papers · 1 filter
math.NA2025
Fractional Quadrature rule and using its Exactness for the Müntz-Legendre Scaling Functions for Solving Fractional Differential Equations
Ritu Kumari, Mani Mehra, Abhishek Kumar Singh
Fractional operators (derivatives/integrals) are defined via the integration of the functions. When the function is produced by a spanning set of fractional power functions, tradit…
math.NA2024
Modified least squares method and a review of its applications in machine learning and fractional differential/integral equations
Abhishek Kumar Singh, Mani Mehra, Anatoly A. Alikhanov
The least squares method provides the best-fit curve by minimizing the total squares error. In this work, we provide the modified least squares method based on the fractional ortho…