Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type

被引：12

作者：

HamaRashid, Hawsar ^{[1
]}

Srivastava, Hari Mohan ^{[2
,3
,4
,5
]}

Hama, Mudhafar ^{[6
]}

Mohammed, Pshtiwan Othman ^{[1
]}

Almusawa, Musawa Yahya ^{[7
]}

Baleanu, Dumitru ^{[8
,9
,10
]}

机构：

[1] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani 46001, Iraq

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[3] Azerbaijan Univ, Dept Math & Informat, AZ-1007 Baku, Azerbaijan

[4] Kyung Hee Univ, Ctr Converging Humanities, 26 Kyungheedae Ro, Seoul 02447, South Korea

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[6] Univ Sulaimani, Coll Sci, Dept Math, Sulaimani 46001, Iraq

[7] Jazan Univ, Fac Sci, Dept Math, Jazan 45142, Saudi Arabia

[8] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkiye

[9] Inst Space Sci, R-76900 Magurele, Romania

[10] Lebanese Amer Univ, Sch Arts & Sci, Dept Nat Sci, Beirut 11022801, Lebanon

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 06期

关键词：

boundary value problem; Arzela-Ascoli theorem; Krasnosel'skii theorem; nonlinear integro equation; HOMOTOPY PERTURBATION METHOD; DECOMPOSITION METHOD;

D O I：

10.3934/math.2023745

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study is devoted to examine the existence and uniqueness behavior of a nonlinear integro-differential equation of Volterra-Fredholm integral type in continues space. Then, we examine its solution by modification of Adomian and homotopy analysis methods numerically. Initially, the proposed model is reformulated into an abstract space, and the existence and uniqueness of solution is constructed by employing Arzela-Ascoli and Krasnoselskii fixed point theorems. Furthermore, suitable generation. At last, three test examples are presented to verify the established theoretical concepts.

引用

页码：14572 / 14591

页数：20

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