In this paper we study existence and uniqueness of solutions for a boundary value problem for (p,q) -difference equations with nonlocal integral boundary conditions, by using classical fixed point theorems. Examples illustrating the main results are also presented. (2010): 05A30, 39A13, 34A12. Mathematics subject classification

In this paper, we discuss the existence and uniqueness of solutions for two new classes of sequential fractional differential equations of Riemann-Liouville and Caputo types with generalized fractional integral boundary conditions, by using standard fixed point theorems. In addition, we also demonstrate the application of the obtained results with the aid of examples.

In this paper, we investigate the existence and uniqueness of solutions for a boundary value problem for second-order quantum (p,q)-difference equations with separated boundary conditions, by using classical fixed point theorems. Examples illustrating the main results are also presented.

Abstract:In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii's and Leggett-Williams fixed point theorems. The obtained results are well illustrated with the aid of examples.

In this article, we study a coupled system of singular fractional difference equations with fractional sum boundary conditions. A sufficient condition of the existence of positive solutions is established by employing the upper and lower solutions of the system and using Schauder's fixed point theorem. Finally, we provide an example to illustrate our results.