Stability of conformable stochastic systems depending on a parameter

In this work, we study the almost sure exponential stability ( A.S.E.S ) and the exponential stability in p-th moment ( E.S.P.M ) of conformable stochastic systems depending on a parameter (CSSP) by using the Lyapunov methods and the classical stochastic analysis techniques. In the last section, we apply the main result for an illustrative example.     

Improving caching resource management: A pricing economic approach using Cournot,Bertrand, and Stackelberg game models

Over-The-Top broadcasts a huge number of medias that mobile network operators have to manage efficiently before to deliver it to their subscribers. We propose an economic pricing approach to address caching resource management issues in the 5G wireless networks and to overcome limitations in terms of throughput, latency, and reliability. Moreover, we consider this approach based on an oligopolistic multi-market deducted from Cournot, Stackelberg, and Bertrand models. For simulation purpose, we consider the routing protocol (Ad-hoc On-Demand Distance Vector [AODV]) commonly used for the wireless network. We use the NS-2 package, and we analyze results in terms of End-to-End delay representing latency, throughput, packet delivery ratio, and normalized network load.