شماره ركورد كنفرانس :
3835
عنوان مقاله :
Spectral method based on new operational matrices for system of differential equations with Jumarie’s modified Riemann-Liouville fractional derivative
پديدآورندگان :
Alipour Mohsen Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave., Babol, Iran, , Allahqoli Parisa Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave., Babol, Iran,
كليدواژه :
System of fractional differential equations , Bernstein polynomials , operational matrix , Jumarie’s modified Riemann , Liouville fractional derivative.
عنوان كنفرانس :
اولين كنفرانس بين المللي مديريت، نوآوري و توليد ملي
چكيده فارسي :
In this paper, we present a new operational matrix by Bernstein polynomials and apply it for solving the nonlinear system of differential equations with Jumarie’s modified Riemann-Liouville fractional derivative. This method reduces the problems to a system of algebraic equations. The results obtained are with high accuracy. Also, the solutions approach to classical solutions as the order of the fractional derivatives approach to 1.
