Abstract
In this paper, we present a numerical method for solving fractional integro-differential equations with nonlocal boundary conditions using Bernstein polynomials. Some theoretical considerations regarding fractional order derivatives of Bernstein polynomials are discussed. The error analysis is carried out and supported with some numerical examples. It is shown that the method is simple and accurate for the given problem.
Recommended Citation
Jani, M.; Bhatta, D.; and Javadi, S.
(2017).
Numerical solution of fractional integro-differential equations with nonlocal conditions,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 12,
Iss.
1, Article 7.
Available at:
https://digitalcommons.pvamu.edu/aam/vol12/iss1/7
Included in
Fluid Dynamics Commons, Numerical Analysis and Computation Commons, Ordinary Differential Equations and Applied Dynamics Commons