A MODIFIED METHOD FOR SOLVING DELAY FUZZY VARIABLE-ORDER FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Khlaif, Abbas I. ^{[1
,2
]}

Mohammed, Osama H. ^{[1
]}

Feki, Moez ^{[2
]}

机构：

[1] Al Nahrain Univ, Coll Sci, Dept Math & Comp Applicat, Jadriya, Baghdad, Iraq

[2] Univ Sousse, Higher Sch Sci & Technol Hammam Sousse, Res Grp LAMMDA, Sousse, Tunisia

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2024年

关键词：

delay partial differential equations; Adomian decomposition method; fuzzy set theory; fractional calculus; DIFFUSION; CONVERGENCE;

D O I：

10.28919/cmbn/8768

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This work focuses on providing an efficient well known method which is so called Adomain decomposition method for solving non-linear delay fuzzy fractional variable-order partial differential equations. The fractional order derivative will be in the Caputo sense. According to this method, the solution can be simply computed as a components of a convergent power series. Several numerical examples are presented to illustrate that the proposed method is precise and accurate and can be enforced to other non-linear problems.

引用

页数：17

共 36 条

[1] NEW IDEAS FOR PROVING CONVERGENCE OF DECOMPOSITION METHODS [J].

ABBAOUI, K ;

CHERRUAULT, Y .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 29 (07) :103-108

[2] NOISE TERMS IN DECOMPOSITION SOLUTION SERIES [J].

ADOMIAN, G ;

RACH, R .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1992, 24 (11) :61-64

[3]

Al-Mazmumy M., 2015, Int. J. Res. Agric. Sci., V23, P164

[4]

Ali AH., 2008, BASRAH J SCI A, V26, P1

[5] On the order of convergence of Adomian method [J].

Babolian, E ;

Biazar, J .

APPLIED MATHEMATICS AND COMPUTATION, 2002, 130 (2-3) :383-387

[6] On new solutions of fuzzy differential equations [J].

Chalco-Cano, Y. ;

Roman-Flores, H. .

CHAOS SOLITONS & FRACTALS, 2008, 38 (01) :112-119

[7] FURTHER REMARKS ON CONVERGENCE OF DECOMPOSITION METHOD [J].

CHERRUAULT, Y ;

ADOMIAN, G ;

ABBAOUI, K ;

RACH, R .

INTERNATIONAL JOURNAL OF BIO-MEDICAL COMPUTING, 1995, 38 (01) :89-93

[8]

Congxin W., 1990, J. Harbin Inst. Technol., V21, P11

[9] TOWARDS FUZZY DIFFERENTIAL-CALCULUS .1. INTEGRATION OF FUZZY MAPPINGS [J].

DUBOIS, D ;

PRADE, H .

FUZZY SETS AND SYSTEMS, 1982, 8 (01) :1-17

[10] Oscillation criteria for second-order Emden-Fowler delay differential equations with a sublinear neutral term [J].

Dzurina, Jozef ;

Grace, Said R. ;

Jadlovska, Irena ;

Li, Tongxing .

MATHEMATISCHE NACHRICHTEN, 2020, 293 (05) :910-922

← 1 2 3 4 →