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

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 i...

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Bibliographic Details
Published inFractal and fractional Vol. 8; no. 1; p. 15
Main Authors Alhamzi, Ghaliah, Dubey, Ravi Shanker, Alkahtani, Badr Saad T., Saini, G. L.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2024
Subjects
Adomin decomposition method
Applied mathematics
Biology
Calculus
Decomposition
Engineering
Exact solutions
Fractals
generalized Bratu-type equation
local fractional derivative
Nonlinear equations
Numerical analysis
Ordinary differential equations
Partial differential equations
Physical instruments
Physics
Science
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Summary: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.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract8010015