Fractional problems with advanced arguments

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This paper concerns boundary fractional differential problems with advanced arguments. We investigate the existence of initial value problems when the initial point is given at the end point of an interval. Nonhomogeneous linear fractional differential equations are also studied. The existence of solutions for fractional differential equations with advanced arguments and with boundary value problems has been investigated by using a monotone iterative technique. We also discuss corresponding fractional inequalities. Several examples illustrate the results.

论文关键词:Fractional differential equations with advanced arguments and with boundary conditions,Existence of solutions,Successive approximations and monotone iterative method,The Mittag–Leffler functions,Fractional differential inequalities,Lower and upper solutions

论文评审过程:Available online 21 January 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2013.12.033