Analytical lie group approach for solving fractional integro-differential equations

被引：37

作者：

Pashayi, S. ^{[1
]}

Hashemi, M. S. ^{[2
]}

Shahmorad, S. ^{[1
]}

机构：

[1] Univ Tabriz, Dept Appl Math, Tabriz 5166616471, Iran

[2] Univ Bonab, Basic Sci Fac, Dept Math, POB 55517-61167, Bonab, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2017年 / 51卷

关键词：

Symmetry group; Fractional integro-differential equation; Infinitesimal generator; Prolongation; Invariant solution; SYMMETRY GROUP CLASSIFICATION; ELASTODYNAMICS PROBLEMS;

D O I：

10.1016/j.cnsns.2017.03.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study is concerned with the Lie symmetry group analysis of Fractional Integro-Differential Equations (FIDEs) with nonlocal structures based on a new development of prolongation formula. A new prolongation for FIDEs is extracted and invariant solutions are finally presented for some illustrative examples. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：66 / 77

页数：12

共 21 条

[1] Symmetry groups of the equations with nonlocal structure and an application for the collisionless Boltzmann equation [J].