The generalized Kudryashov method for the nonlinear fractional partial differential equations with the beta-derivative



Document title: The generalized Kudryashov method for the nonlinear fractional partial differential equations with the beta-derivative
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000454029
ISSN: 0035-001X
Authors: 1
Institutions: 1Usak University, Department of Econometrics, Usak. Turquía
Year:
Season: Nov-Dic
Volumen: 66
Number: 6
Pages: 771-781
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract In this article, we consider the exact solutions of the Hunter-Saxton and Schrödinger equations defined by Atangana’s conformable derivative using the general Kudryashov method. Firstly, Atangana’s conformable fractional derivative and its properties are included. Then, by introducing the generalized Kudryashov method, exact solutions of nonlinear fractional partial differential equations, which can be expressed with the conformable derivative of Atangana, are classified. Looking at the results obtained, it is understood that the generalized Kudryashov method can yield important results in obtaining the exact solutions of fractional partial differential equations containing beta-derivatives
Disciplines: Física y astronomía
Keyword: Física,
Método generalizado de Kudryashov,
Ecuación Hunter-Saxton,
Ecuación de Schrodinger,
Beta derivativa,
Soluciones de olas
Keyword: Physics,
Generalized Kudryashov method,
Hunter-Saxton equation,
Schrödinger equation,
Beta-derivative,
Wave solutions
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