Analytical Solutions for a Generalized Nonlinear Local Fractional Bratu-Type Equation in a Fractal Environment-Reference-Cited by-同舟云学术

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

Published:2023-12-23 Issue:1 Volume:8 Page:15
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Alhamzi Ghaliah¹^ORCID,Dubey Ravi Shanker²^ORCID,Alkahtani Badr Saad T.³^ORCID,Saini G. L.⁴^ORCID

Affiliation:

1. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11989, Saudi Arabia

2. Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur 302002, India

3. Department of Mathematics, College of Science, King Saud University, Riyadh 11989, Saudi Arabia

4. Department of Computer and Communication Engineering, Manipal University Jaipur, Jaipur 303007, India

Abstract

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.

Funder

This work was supported and funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU)

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/8/1/15/pdf

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