In this paper, we investigate a initial value problem for the Caputo time-fractional pseudo-parabolic equations with fractional Laplace operator of order 0 < ν ≤ 1 and nonlinear memory source term. For 1, will be considered on bounded domain ℝ d . By some Sobolev embeddings properties Mittag-Leffler function, give results existence uniqueness mild solution (1.1) below. When = introduce L p −...

in this paper, a numerical scheme for solving singular initial/boundary value problems presented.by applying the reproducing kernel hilbert space method (rkhsm) for solving these problems,this method obtained to approximated solution. numerical examples are given to demonstrate theaccuracy of the present method. the result obtained by the method and the exact solution are foundto be in good agr...