TY - JOUR
ID - 5644
TI - Positive solutions for discrete fractional initial value problem
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Haghi, Tahereh
AU - Ghanbari, Kazem
AD - Sahand University of Technology, Tabriz, Iran
Y1 - 2016
PY - 2016
VL - 4
IS - 4
SP - 285
EP - 297
KW - discrete fractional calculus
KW - existence of solutions
KW - Positive solution, Fixed point theorem
DO -
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_5644.html
L1 - https://cmde.tabrizu.ac.ir/article_5644_90f2bdba699867d7927f805399e1c7bf.pdf
ER -