On existence of positive solution for initial value problem
of nonlinear fractional differential equations
of order 1
M. M. Matar
Received: January 30, 2014; Accepted: April 28, 2014
Abstract. The existence of positive solution for a class of nonlinear fractional differential equations are investigated by the method of upper and lower solutions and using Schauder and Banach fixed point theorems.
Keywords: fractional differential equations; positive solution; upper and lower solutions; existence and uniqueness; Banach and Schauder fixed point theorems.
AMS Subject classification: Primary: 26A33; Secondary: 34A12, 34G20.
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