Soliton solutions of nonlinear fractional differential equations with their applications in mathematical physics



Document title: Soliton solutions of nonlinear fractional differential equations with their applications in mathematical physics
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000447170
ISSN: 0035-001X
Authors: 1
1
Institutions: 1Yildiz Technical University, Faculty of Arts and Sciences, Estambul. Turquía
Year:
Season: May-Jun
Volumen: 67
Number: 3
Pages: 422-428
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract In this study, the generalized Kudryashov method has been used to investigate a certain type of nonlinear fractional differential equations. Firstly, we proposed a fractional complex transform to convert fractional differential equations into ordinary differential equations. Three applications were given to demonstrate the effectiveness of the present technique. The results show that this method is very effective and powerful mathematical tool for solving nonlinear fractional equations arising in mathematical physics. As a result, abundant types of exact solutions are obtained
Disciplines: Física y astronomía
Keyword: Física,
Soluciones exactas,
Derivada de Riemann-Liouville modificada,
Transformada de complejo fraccionario,
Ecuaciones diferenciales fraccionarias
Keyword: Physics,
Exact solutions,
Modified Riemann-Liouville derivative,
Fractional complex transform,
Fractional differential equations
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