Recent advances on the Internet of Things (IoT) have posed great challenges to computer science and engineering. IoT systems manage huge numbers of heterogeneous sensors and/or mobile devices which are continuously mobile in the states of real-world objects, and most data are generated automatically through mobile networking environments. Internet of Things frameworks might help support the interaction between “things” and allow for more complex structures like distributed/grid/cloud computing and the development of distributed/grid/cloud applications. Currently, some Internet of Things frameworks seem to focus on real time data logging solutions, which are offering some basis to work with many “things.” Future developments might lead to specific software development environments to create the software to work with the hardware used in the Internet of Things.

This special issue aims to provide an advanced theory and application for researchers and practitioners to contribute with original research and review articles that present the state-of-the-art research outcomes, practical results, latest findings, and future evolutions of mathematics in IoT applications. Potential topics include, but are not limited to:

• Mathematical and numerical modeling of smart city included smartphone real world and mobile networks
• Optimization methods and mathematics modeling for smart grid with cloud computing.
• Numerical analysis for security and emergencies in IoT
• Methods for improving efficiency or accuracy of M2M applications and vehicle autodiagnosis
• Adaptive and dynamic algorithms for home automation and eHealth applications
• Computational models of communication mechanisms for mobile networks in IoT
• Advanced modeling for IoT applications as mobile/vehicle ad hoc networks and mobile sensor networks in cyber physical system (CPS)

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/jam/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/jam/iot/ according to the following timetable: