期刊论文详细信息
Fractal and Fractional | |
On a Quadratic Nonlinear Fractional Equation | |
article | |
Iván Area1  Juan J. Nieto2  | |
[1] CITMAga, Universidade de Vigo, Departamento de Matemática Aplicada II, E.E. Aeronáutica e do Espazo, Campus As Lagoas-Ourense;CITMAga, Universidade de Santiago de Compostela | |
关键词: logistic ordinary differential equation; blow-up; fractional differential equation; Lambert function; non-elementary functions; non-uniqueness34A05; 34A34; 34M50; | |
DOI : 10.3390/fractalfract7060469 | |
学科分类:社会科学、人文和艺术(综合) | |
来源: mdpi | |
【 摘 要 】
In this paper, we study a quadratic nonlinear equation from the fractional point of view. An explicit solution is given in terms of the Lambert special function. A new phenomenon appears involving the collapsing of the solution and the blow-up of the derivative. The explicit representation of the solution reveals the non-elementary nature of the solution.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202307010003425ZK.pdf | 291KB | download |