A Hybrid Approach of Nonlinear Partial Mixed Integro-Differential Equations of Fractional Order

被引：20
|
作者：
Mirzaee, Farshid [1 ]
Alipour, Sahar [1 ]
机构：
[1] Malayer Univ, Fac Math Sci & Stat, POB 65719-95863, Malayer, Iran
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2020年 / 44卷 / 03期
关键词：
Parabolic functions; Block-pulse functions; Partial differential equation; Mixed Volterra-Fredholm integral equation; Fractional calculus; Operational matrix; NUMERICAL-SOLUTION; CONVERGENCE; SPREAD;
D O I：
10.1007/s40995-020-00859-7
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we use hybrid parabolic and block-pulse functions (2D-PBPFs) to provide an approximate solution of nonlinear partial mixed Volterra-Fredholm integro-differential equations of fractional order. To reach this goal, we present the Volterra integral operational matrix, operational matrix of fractional integral and operational matrix of mixed VolterraFredholm integral by 2D-PBPFs. Using the proposed method, nonlinear partial mixed Volterra-Fredholm integro-differential equations of fractional order become into a nonlinear system of algebraic equations. Moreover, we provide some theorems for convergence analysis and we demonstrate that the convergence order of the suggested approximate approach is Ooh3THORN. Finally, we solve two numerical examples to prove the accuracy of the proposed method.
引用
收藏
页码：725 / 737
页数：13
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