Numerical methods for solving integro partial differential equation with fractional order

被引：2
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
收藏
页码：1115 / 1132
页数：18
相关论文
共 31 条
[11]   An alternate algorithm for computing Adomian polynomials in special cases [J].
Biazar, J ;
Babolian, E ;
Kember, G ;
Nouri, A ;
Islam, R .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 138 (2-3) :523-529
[12]   Convergence of the Adomian method applied to a class of nonlinear integral equations [J].
Ei-Kalla, I. L. .
APPLIED MATHEMATICS LETTERS, 2008, 21 (04) :372-376
[13]  
El-Borai M., 2021, TURKISH J COMPUTER M, V12, P1640
[14]  
El-Borai M. M, 2000, 16 IMACS WORLD C LAU
[15]  
El-Borai M. M., 2019, GLOBAL J MATH, V13, P899
[16]  
El-Borai M. M., 2001, INT J MATH MATH SCI, V26, P437
[17]  
El-Borai M.M., 2008, J APPL MATH COMPUT, V206, P141
[18]   Semigroups and some nonlinear fractional differential equations [J].
El-Borai, MM .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (03) :823-831
[19]   Some probability densities and fundamental solutions of fractional evolution equations [J].
El-Borai, MM .
CHAOS SOLITONS & FRACTALS, 2002, 14 (03) :433-440
[20]  
Elborai M. M., 2020, Advances in Mathematics: Scientific Journal, V9, P10267, DOI DOI 10.37418/AMSJ.9.12.19
1234