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Title
ON THE EXISTENCE OF POSITIVE SOLUTIONS FOR A LOCAL FRACTIONAL BOUNDARY VALUE PROBLEM WITH AN INTEGRAL BOUNDARY CONDITION
Type of Research Article
Keywords
: Fractional Derivatives, Differential Equations, Boundary Value Problems, Fixed point Theorem.
Abstract
In this work, we are concerned with the fractional differential equation Dα 0+ u(t) + f(t, u(s)) = 0, 1 < α ≤ 2 where Dα 0+ is the standard Riemann-Liouville fractional derivative, subject to the local boundary conditions u(0) = 0, u(1) + Z η 0 u(t)dt = 0, 0 ≤ η < 1. We try to obtain the existence of positive solutions by using some fixed point theorems
Researchers asghar ahmadkhanlu (First Researcher)