Lie symmetry analysis of two–dimensional fractional integro–differential equations

IF 3.1 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2026-06-06 DOI:10.1007/s13540-026-00545-2

Soheila Pashayi, Sedaghat Shahmorad

引用次数: 0

Abstract

A symmetry group analysis is studied for solving 2D-fractional integro-differential equations (2D-FIDEs) based on solving equations with nonlocal structures. A new prolongation formula is presented for 2D-FIDFs. The resulting determining equations which contain fractional derivatives and double integrals are solved for the first time in this paper. Some illustrative examples are given to clarify the method.

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二维分数阶积分微分方程的李对称性分析

在求解非局部结构方程的基础上，研究了求解二维分数阶积分微分方程的对称群分析方法。提出了一种新的二维fidf延长公式。本文首次求解了包含分数阶导数和二重积分的决定方程。给出了一些实例来说明该方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.