Fractional-Order Mittag-Leffler Functions for Solving Multidimensional Fractional Pantograph Delay Differential Equations

Arezoo Ghasempour; Yadollah Ordokhani; Sedigheh Sabermahani

首页> 外文期刊>Iranian Journal of Science >Fractional-Order Mittag-Leffler Functions for Solving Multidimensional Fractional Pantograph Delay Differential Equations

【24h】

Fractional-Order Mittag-Leffler Functions for Solving Multidimensional Fractional Pantograph Delay Differential Equations

机译：Fractional-Order Mittag-Leffler Functions for Solving Multidimensional Fractional Pantograph Delay Differential Equations

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

This manuscript is devoted to presenting an approximation method based upon a new set of fractional functions named fractional-order Mittag-Leffler functions (FM-LFs). This scheme is implemented to approximate the solution of a multidimensional fractional pantograph differential equation. To this approach, FM-LFs are introduced. Then, we employ FM-LFs to construct the pseudo-operational matrix of fractional integration and pantograph operational matrix (P-OM). We reduce the considered problems to systems of algebraic equations with the help of the mentioned matrices, and the collocation technique, respectively. Error analysis is proposed. Moreover, several numerical experiments have been considered to confirm the efficiency and applicability of the suggested scheme.

著录项

来源
《Iranian Journal of Science》 |2023年第3期|885-898|共14页
作者
Arezoo Ghasempour; Yadollah Ordokhani; Sedigheh Sabermahani;
展开▼
作者单位

Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran;

展开▼
收录信息
原文格式 PDF
正文语种英语
中图分类
关键词
Fractional-order Mittag-Leffler functions; Fractional pantograph differential equations; Pseudo-operational matrix; Pantograph operational matrix;

Fractional-Order Mittag-Leffler Functions for Solving Multidimensional Fractional Pantograph Delay Differential Equations

摘要

著录项

相关主题

期刊订阅