Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment

被引：6
|
作者：
Alhamzi, Ghaliah [1 ]
Dubey, Ravi Shanker [2 ]
Alkahtani, Badr Saad T. [3 ]
Saini, G. L. [4 ]
机构：
[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh 11989, Saudi Arabia
[2] Amity Univ Rajasthan, Amity Sch Appl Sci, Dept Math, Jaipur 302002, India
[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11989, Saudi Arabia
[4] Manipal Univ Jaipur, Dept Comp & Commun Engn, Jaipur 303007, India
来源：
FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 01期
关键词：
local fractional derivative; generalized Bratu-type equation; Adomin decomposition method; DECOMPOSITION METHOD; MEDIA;
D O I：
10.3390/fractalfract8010015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the context of fractal space, this study presents a higher-order nonlinear local fractional Bratu-type equation and thoroughly examines this generalized nonlinear equation. Additional analysis and identification of particular special situations of the generalized local fractional Bratu equation is performed. Finally, the Adomian decomposition method is utilized to derive that solution for the generalized Bratu equation of local fractional type. This study contributes to a deeper understanding of these equations and provides a practical computational approach to their solutions.
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页数：12
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