An iterative method for solving a class of fractional functional differential equations with ``maxima'' (Q1657237)

Summary: In the present work, we deal with nonlinear fractional differential equations with ``maxima'' and deviating arguments. The nonlinear part of the problem under consideration depends on the maximum values of the unknown function taken in time-dependent intervals. Proceeding by an iterative approach, we obtain the existence and uniqueness of the solution, in a context that does not fit within the framework of fixed point theory methods for the self-mappings, frequently used in the study of such problems. An example illustrating our main result is also given.