In this paper, the existence and uniqueness of positive solutions for a class of nonlinear initial value problem for a finite fractional difference equation obtained by constructing the upper and lower control functions of nonlinear term without any monotone requirement .The solutions of fractional difference equation are the size of tumor in model tumor growth described by the Gompertz function. We use the method of upper and lower solutions and Schauder fixed point theorem to obtain the main results.
Haghi, T. and Ghanbari, K. (2016). Positive solutions for discrete fractional initial value problem. Computational Methods for Differential Equations, 4(4), 285-297.
MLA
Haghi, T. , and Ghanbari, K. . "Positive solutions for discrete fractional initial value problem", Computational Methods for Differential Equations, 4, 4, 2016, 285-297.
HARVARD
Haghi, T., Ghanbari, K. (2016). 'Positive solutions for discrete fractional initial value problem', Computational Methods for Differential Equations, 4(4), pp. 285-297.
CHICAGO
T. Haghi and K. Ghanbari, "Positive solutions for discrete fractional initial value problem," Computational Methods for Differential Equations, 4 4 (2016): 285-297,
VANCOUVER
Haghi, T., Ghanbari, K. Positive solutions for discrete fractional initial value problem. Computational Methods for Differential Equations, 2016; 4(4): 285-297.
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