Numerical methods for solving integro partial differential equation with fractional order

被引：1

作者：

Elborai, Mahmoud. M. ^{[1
]}

Abdou, M. A. ^{[2
]}

El-Sayed, W. ^{[1
]}

Awed, Sh. I. ^{[2
]}

机构：

[1] Alexandria Univ, Fac Sci, Dept Math & Comp Sci, Alexandria, Egypt

[2] Alexandria Univ, Fac Educ, Dept Math, Alexandria, Egypt

来源：

INTERNATIONAL JOURNAL OF EARLY CHILDHOOD SPECIAL EDUCATION | 2022年 / 14卷 / 02期

关键词：

Adomian Decomposition Method; Integral equation; Partial differential equation; ADOMIAN DECOMPOSITION METHOD; CONVERGENCE; ALGORITHM;

D O I：

10.9756/INT-JECSE/V14I2.093

中图分类号：

G76 [特殊教育];

学科分类号：

040109 ;

摘要：

Some fractional order integro partial differential equations are investigated. Some initial value problems are considered using the Picard technique. Furthermore, the topic of stability is discussed. In addition, the Cauchy problem is transformed to a nonlinear algebraic system. Finally, numerical results are produced for different values of fractional order alpha and time t.

引用

页码：1115 / 1132

页数：18

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