Pseudo-operational matrix method for the solution of variable-order fractional partial integro-differential equations

被引：0
|
作者：
Haniye Dehestani
Yadollah Ordokhani
Mohsen Razzaghi
机构：
[1] Alzahra university,Department of Applied Mathematics, Faculty of Mathematical Sciences
[2] Mississippi State University,Department of Mathematics and Statistics
来源：
Engineering with Computers | 2021年 / 37卷
关键词：
Fractional-order Genocchi functions; Variable-order fractional partial integro-differential equation; Pseudo-operational matrix; Variable-order Caputo fractional derivative; 65N35; 26A33; 65M15;
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中图分类号：
学科分类号：
摘要：
The main purpose of this paper is to utilize the collocation method based on fractional Genocchi functions to approximate the solution of variable-order fractional partial integro-differential equations. In the beginning, the pseudo-operational matrix of integration and derivative has been presented. Then, using these matrices, the proposed equation has been reduced to an algebraic system. Error estimate for the presented technique is discussed and has been implemented the error algorithm on an example. At last, several examples have been illustrated to justify the accuracy and efficiency of the method.
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页码：1791 / 1806
页数：15
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