in this article differential transformation method (dtms) has been used to solve neutral functional-differential equations with proportional delays. the method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. exact solutions can also be obtained from the kno...

In this paper, we prove a result of existence and uniqueness solutions for the following class problem initial value differential equations with maxima Caputo?s fractional order on time scales: c??a u(?) = ?(?, u(?), max ??[a,?] u(?)), ? J := [a, b]T, 0 < 1, u(a) ?, We used techniques Picard weakly operators to obtain some data dependency parameters results.

A periodical boundary value problem for a first-order system of ordinary integro-differential equations with impulsive effects and maxima is investigated. The obtained nonlinear functional-integral the existence uniqueness solution periodic are reduced to solvability equations. method successive approximations in combination compressing mapping used proof one-valued We define way aid which we c...