Browsing by Author "Alshomrani, Ali S. S."

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Citation - WoS: 12
Citation - Scopus: 12
Fractional hyper-chaotic system with complex dynamics and high sensitivity: Applications in engineering
(World Scientific Publ Co Pte Ltd, 2024) Partohaghighi, Mohammad; Baleanu, Dumitru; Yusuf, Abdullahi; Alshomrani, Ali S. S.; Sulaiman, Tukur Abdulkadir; Baleanu, Dumitru; 56389; Matematik
Hyper-chaotic systems have useful applications in engineering applications due to their complex dynamics and high sensitivity. This research is supposed to introduce and analyze a new noninteger hyper-chaotic system. To design its fractional model, we consider the Caputo fractional operator. To obtain the approximate solutions of the extracted system under the considered fractional-order derivative, we employ an accurate nonstandard finite difference (NSFD) algorithm. Moreover, the existence and uniqueness of the solutions are provided using the theory of fixed-point. Also, to see the performance of the utilized numerical scheme, we choose different values of fractional orders along with various amounts of the initial conditions (ICs). Graphs of solutions for each case are provided.
Citation - WoS: 3
Citation - Scopus: 3
Meyer Wavelet Neural Networks Procedures To Investigate The Numerical Performances Of The Computer Virus Spread With Kill Signals
(World Scientific Publ Co Pte Ltd, 2023) Sabir, Zulqurnain; Baleanu, Dumitru; Baleanu, Dumitru; Raja, Muhammad Asif Zahoor; Alshomrani, Ali S. S.; Hincal, Evren; 56389; Matematik
This study shows the design of the Meyer wavelet neural networks (WNNs) to perform the numerical solutions of the spread of computer virus with kill signals, i.e. SEIR-KS system. The optimization of the SEIR-KS system is performed by the Meyer WNNs together with the optimization through the genetic algorithm (GA) and sequential quadratic (SQ) programming, i.e. Meyer WNNs-GASQ programming. A sigmoidal-based log-sigmoid function is implemented as an activation function, while 10 numbers of neurons work with 120 variables throughout this study. The correctness of the proposed Meyer WNNs-GASQP programming is observed through the comparison of the obtained and reference numerical solutions. For the consistency and reliability of the Meyer WNNs-GASQ programming, an analysis based on different statistical procedures is performed using 40 numbers of independent executions. Moreover, the use of different statistical operators like mean, median, minimum, standard deviation and semi-interquartile range further validates the correctness of the Meyer WNNs-GASQ programming for solving the SEIR-KS system.