Correction to: Solutions of Complex Fermat-Type Partial Difference and Differential-Difference Equations

ENTIRE SOLUTIONS OF FERMAT TYPE q-DIFFERENCE DIFFERENTIAL EQUATIONS

In this article, we describe the finite-order transcendental entire solutions of Fermat type q-difference and q-difference differential equations. In addition, we investigate the similarities and other properties among those solutions.

On meromorphic solutions of certain type of difference equations

‎We mainly discuss the existence of meromorphic (entire) solutions of‎ ‎certain type of non-linear difference equation of the form‎: ‎$f(z)^m+P(z)f(z+c)^n=Q(z)$‎, ‎which is a supplement of previous‎ ‎results in [K‎. ‎Liu‎, ‎L. Z‎. ‎Yang and X‎. ‎L‎. ‎Liu‎, ‎Existence of entire solutions of nonlinear difference‎ ‎equations‎, ‎Czechoslovak Math. J. 61 (2011)‎, no. 2, ‎565--576‎, and X‎. ‎G‎. ‎Qi‎...

Finite difference method for solving partial integro-differential equations

In this paper, we have introduced a new method for solving a class of the partial integro-differential equation with the singular kernel by using the finite difference method. First, we employing an algorithm for solving the problem based on the Crank-Nicholson scheme with given conditions. Furthermore, we discrete the singular integral for solving of the problem. Also, the numerical results ob...

Almost Automorphic Mild Solutions to Fractional Partial Difference-differential Equations

We study existence and uniqueness of almost automorphic solutions for nonlinear partial difference-differential equations modeled in abstract form as (∗) ∆u(n) = Au(n+ 1) + f(n, u(n)), n ∈ Z, for 0 < α ≤ 1 where A is the generator of a C0-semigroup defined on a Banach space X, ∆ denote fractional difference in Weyl-like sense and f satisfies Lipchitz conditions of global and local type. We intr...

Difference Approximations to Partial Differential Equations