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

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.