Modified exponential function method for nonlinear mathematical models with Atangana conformable derivative



Document title: Modified exponential function method for nonlinear mathematical models with Atangana conformable derivative
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000447260
ISSN: 0035-001X
Authors: 1
Institutions: 1Ordu University, Department of Mathematics and Science Education, Ordu. Turquía
Year:
Season: Jul-Ago
Volumen: 67
Number: 4
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract In this study, we investigate the exact solutions of the modifie Benjamin-Bona-Mahony and Sharma-Tasso-Olver equations, which are define with Atangana conformable fractional derivative, using the modifie exponential function method. Exact solutions of the modifie Benjamin-Bona-Mahony and Sharma-Tasso-Olver equations were obtained by using the modifie exponential function method. Two and three-dimensional and contour graphics are used to understand the physical interpretations of the resulting exact solutions to the mathematical model. When all these results and graphs are analyzed, it has been shown that the modifie exponential function method is an effective method for obtaining exact solutions for all other nonlinear fractional partial differential equations containing conformable fractional derivatives of Atangana
Disciplines: Física y astronomía
Keyword: Física,
Método de la función exponencial modificada,
Ecuación Benjamin-BOna-Mahony modificada,
Fraccional espacio tiempo,
Ecuación fraccionaria de Sharma-Tasso-Olver,
Derivada conforme a Atangana,
Superficies de contorno
Keyword: Physics,
Modified Benjamin-Bona-Mahony equation,
Modified exponential function method,
Space-time fractional,
Fractional Sharma-Tasso-Olver equation,
Atangana conformable derivative,
Contour surfaces
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