Numerical solution of nonlinear fractional-order volterra integro-differential equations by scw

Thermo-diffusion and diffusion-thermo effects on flow of second grade fluid between two inclined plane walls

Fractional-order Bernoulli functions and their applications in solving fractional FredholemVolterra integro-differential equations

A new approximate technique is introduced to find a solution of FVFIDE with mixed boundary conditions. This paper started from the meaning of Caputo fractional differential operator. The fractional derivatives are replaced by the Caputo operator, and the solution is demonstrated by the hybrid orthonormal Bernstein and block-pulse functions wavelet method (HOBW). We demonstrate the convergence analysis for this technique to emphasize its reliability. The applicability of the HOBW is demonstrated using three examples. The approximate results of this technique are compared with the correct solutions, which shows that this technique has approval with the correct solutions to the problems.

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Solution of fractional Volterra–Fredholm integro-differential equations under mixed boundary conditions by using the HOBW method

The review is devoted to using the fractional integro-differential calculus for description of the dynamics of various systems and control processes. Consideration was given to the basic notions of the fractional integro-differential calculus and the problem of interpretation of the fractional operators. Presented were examples of physical systems described in terms of the apparatus under consideration.

Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation

In this paper, the homotopy perturbation method is applied to investigate the numerical solutions of the nonlinear fractional integro-differential equations (NFIDEs). The results of applying this method shows the simplicity and effectiveness of it to solve probable solutions of NFIDE.

Homotopy Perturbation Method for the Nonlinear Fractional Integro-differential Equations

https://lu.ac.ir/usersfiles/889215360-HAMFNE.pdf

Homotopy analysis method for the fractional nonlinear equations

The Industrial Internet of Things (IIoT) applications need to rely on a wireless infrastructure able to provide low end-to-end latency, and high reliability. Software-Defined Networking (SDN) is promising to make the network more agile, pushing the decision process to a controller. However, radio links are unstable while the controller needs to construct an accurate view of the network to schedule the transmissions efficiently. We propose here SDN-TSCH to separate the data and control planes for a scheduled network. We construct a reliable control plane, maintaining a collision-free path to and from the controller. Besides, SDN-TSCH guarantees flow isolation: each flow can reserve dedicated resources so that end-to-end reliability and latency constraints can be respected per flow. Finally, we also dedicate resources for best-effort traffic, to accommodate various applications. Our Cooja simulations highlight the flow isolation characteristics of SDN-TSCH: we provide very high reliability even in presence of best-effort traffic.

SDN-TSCH: Enabling Software Defined Networking for Scheduled Wireless Networks with Traffic Isolation

The Industrial Internet of Things (IIoT) has now emerged for many industrial applications. However, many critical applications require high reliability and bounded end-to-end latency. Fortunately, scheduled wireless networks such as IEEE 802.15.4-TSCH try to orchestrate finely the transmissions. In particular, the Software-Defined Networking (SDN) paradigm is promising to concentrate the intelligence of the network in a controller and to simplify the functions achieved by the motes. SDN controller relies on link quality information of wireless devices to construct the routing topology of the network and to provision adequate radio resources for each link. We propose here an accurate link quality estimation scheme based on the SDN-TSCH, as an SDN solution for IEEE 802.15.4-TSCH network. We exploit the centralized view of the SDN controller to transmit packets of link quality estimation in a collision-free manner. Moreover, we investigate the performance of the control plane of SDN-TSCH through different shared, dedicated, and hybrid (mix of shared and dedicated cells) approaches. We figured out that the dedicated control plane provides high reliability and fast convergence for wireless SDN networks.

F. Veisi

Papers

Homotopy Perturbation Method for the Nonlinear Fractional Integro-differential Equations

Homotopy analysis method for the fractional nonlinear equations

SDN-TSCH: Enabling Software Defined Networking for Scheduled Wireless Networks with Traffic Isolation

Link Quality Estimation in Wireless Software Defined Network with a Reliable Control Plane