STUDY ON MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS VIA OPERATIONAL MATRIX OF HYBRID BASIS FUNCTIONS

被引：0
|
作者：
Maleknejad, K. [1 ]
Nouri, K. [2 ]
Torkzadeh, L. [2 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran
[2] Semnan Univ, Fac Math Stat & Comp Sci, Dept Math, POB 35195-363, Semnan, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 02期
关键词：
Fractional derivatives and integrals; multi-order fractional differential equations; operational matrix; hybrid functions; INTEGRAL-EQUATIONS; NUMERICAL-SOLUTION; UNIQUENESS; EXISTENCE; CALCULUS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we apply hybrid functions of general block pulse functions and Legendre polynomials for solving linear and nonlinear multi-order fractional differential equations (FDEs). Our approach is based on incorporating operational matrices of FDEs with hybrid functions that reduces the FDEs problems to the solution of algebraic systems. Error estimate that verifies a convergence of the approximate solutions is considered. The numerical results obtained by this scheme have been compared with the exact solution to show the efficiency of the method.
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页码：307 / 318
页数：12
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