Browsing by Author "Seadawy, Aly"

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Citation - WoS: 42
Citation - Scopus: 52
On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease
(Elsevier, 2020) Din, Anwarud; Baleanu, Dumitru; Shah, Kamal; Seadawy, Aly; Alrabaiah, Hussam; Baleanu, Dumitru; 56389; Matematik
The present paper describes a three compartment mathematical model to study the transmission of the current infection due to the novel coronavirus (2019-nCoV or COVID-19). We investigate the aforesaid dynamical model by using Atangana, Baleanu and Caputo (ABC) derivative with arbitrary order. We derive some existence results together with stability of Hyers-Ulam type. Further for numerical simulations, we use Adams-Bashforth (AB) method with fractional differentiation. The mentioned method is a powerful tool to investigate nonlinear problems for their respective simulation. Some discussion and future remarks are also given.
Citation - WoS: 14
Citation - Scopus: 14
Transmission of high-frequency waves in a tranquil medium with general form of the Vakhnenko dynamical equation
(Iop Publishing Ltd, 2020) Seadawy, Aly; Baleanu, Dumitru; Ali, Asghar; Baleanu, Dumitru; 56389; Matematik
In this new work, two novel modified mathematical methods, called simple equation and F-expansion are devised for exact solutions of Vakhnenko equation, used to handle the transmission of high-frequency waves in a tranquil medium.The constructed results are in exponential, trigonometric and hyperbolic functions. By conveying the specific values for parameters, diverse form of 2D and 3D waves are generated with assistance of Mathematica. The developed solutions are fruitful in NPDEs.