Work

Generalization of the Nonlinear Bernoulli Conformable Fractional Differential Equations with Applications

Year: 2025

Type: article

Abstract: In this work, we study a well-known nonlinear fractional differential equation—the nonlinear Bernoulli conformable fractional differential equation. We classify this equation into different categories and establish a fundamental lemma essential for proving our generalization. This generalization incorporates two methods: the Conformable Leibniz Method and the Conformable Bernoulli Method, both of which provide exact solutions for any nonlinear Bernoulli equation. Finally, we demonstrate the effectiveness of our approach by applying it to selected nonlinear Bernoulli conformable fractional differential equations, including a detailed numerical example.

Source: WSEAS TRANSACTIONS ON MATHEMATICS

DOI: 10.37394/23206.2025.24.17

Authors: Ahmed Bouchenak, Iqbal M. Batiha, Iqbal H. Jebril, Mazin Aljazzazi, Hamzeh Alkasasbeh, Lahcen Rabhi

Institutions: Université Mustapha Stambouli de Mascara, Al-Zaytoonah University of Jordan, University of Jordan, Ajloun National University, Université de Saida Dr Moulay Tahar

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408873771

FWCI: 0.765

Cites: 20

Cited by: 1

Related to: 10