Results for nonlinear fractional differential equations on pseudo-metric spaces with three boundary val

Authors : Akbar AZAMI, Hakimeh MOHAMMADI

Pages : 2565-2571

View : 50 | Download : 14

Publication Date : 2015-05-13

Article Type : Review Paper

Abstract :Abstract. In this paper, we investigate the existence of solutions in Gauge spaces for the nonlinear fractional differential equation boundary value problem   With different boundary value   and   and different order 1 < a  2 and 0 < a < 1. where 0 < /31 < /32 < T and µ  [O, T]and + is the standard Riemann-Lowville differentiation with f(t, u(t))  C([O, T] x [O,  ), R). By using some fixed-point results on gauge spaces, some existence results of positive solutions are obtained.
Keywords : Boundary value problem, Fixed point, Fractional differential equation, Green function, Positive solution

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