In this paper, we investigate the existence and uniqueness of solution of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville fractional derivative by using Banach contraction principle.

Studied here is the large-time behavior and eventual periodicity of solutions of initial-boundary-value problems for the BBM equation and the KdV equation, with and without a Burgers-type dissipation appended. It is shown that the total energy of a solution of these problems grows at an algebraic rate which is in fact sharp for solutions of the associated linear equations. We also establish tha...

The periodic boundary value problems of a class of nonlinear differential equations are investigated.

We present a new algorithm to compute stable discrete minimal surfaces bounded by a number of Þxed or free boundary curves in R, S and H. The algorithm makes no restriction on the genus and can handle singular triangulations. For a discrete harmonic map a conjugation process is presented leading in case of minimal surfaces additionally to instable solutions of the free boundary value problem fo...

In this article, we present some results on the existence and uniqueness of random solutions to a non-linear implicit fractional differential equation involving generalized Caputo derivative operator supplemented with non-local periodic boundary conditions. We make use fixed point theorems due Banach Krasnoselskii derive desired results. Examples illustrating obtained are also presented.