Continuous Dependence for the Pseudoparabolic Equation

Continuous Dependence for the Pseudoparabolic Equation

A unique continuous solution for the Bagley-Torvik equation

In this paper the Bagley-Torvik equation as a prototype fractional differential equation with two derivatives is investigated by means of homotopy perturbation method. The results reveal that the present method is very effective and accurate.

Existence and continuous dependence for fractional neutral functional differential equations

In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.

A Periodic Problem of a Semilinear Pseudoparabolic Equation

and Applied Analysis 3 where α > 0, λ > 0, and p > 1. Their proof revealed that if the initial data is small enough, then there exists a unique solution. Once removing the assumption that the initial data is small, then one should addN ≤ 4 with p > 1 orN ≥ 5 with 1 < p ≤ N/ N−4 to assure the existence of a unique solution. Further, from their results, one can also find that the solutions of 1.5...

Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential

In the present work, under some di¤erentiability conditions on the potential functions , we …rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructin...