FRACTIONAL ORDER OPERATIONAL MATRIX METHOD FOR SOLVING TWO-DIMENSIONAL NONLINEAR FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS.

Autor:	KHAJEHNASIRI, AMIRAHMAD, KERMANI, M. AFSHAR, EZZATI, REZZA
Předmět:	INTEGRO-differential equations VOLTERRA equations INTEGRAL equations FRACTIONAL integrals MATRIX functions MATRICES (Mathematics)
Zdroj:	Kragujevac Journal of Mathematics; 2021, Vol. 45 Issue 4, p571-585, 15p
Abstrakt:	This article presents a numerical method for solving nonlinear twodimensional fractional Volterra integral equation. We derive the Hat basis functions operational matrix of the fractional order integration and use it to solve the two-dimensional fractional Volterra integro-differential equations. The method is described and illustrated with numerical examples. Also, we give the error analysis. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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