Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 12Citation - Scopus: 13Numerical Schemes for Studying Biomathematics Model Inherited With Memory-Time and Delay-Time(Elsevier, 2020) Alquran, Marwan; Momani, Shaher; Baleanu, Dumitru; Jaradat, ImadThe effect of inherited memory-time and delay-time in the formulation of a mathematical population growth model is considered. Two different numerical schemes are introduced to study analytically the propagation of population growth. We provide a graphical analysis that shows the impact of both memory-time and delay-time acting on the behavior of population density. We concluded that both delay-time and time-fractional-derivative play the same role as delaying the propagation of the nonlinear population growth. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.Article Citation - WoS: 74Citation - Scopus: 79Shapes and Dynamics of Dual-Mode Hirota-Satsuma Coupled Kdv Equations: Exact Traveling Wave Solutions and Analysis(Elsevier, 2019) Jaradat, Imad; Baleanu, Dumitru; Alquran, MarwanIn this paper we communicated with three different ansatze methods including the tanh-expansion method, the rational sine-cosine method and the Kudryashov-expansion method to study solitary wave solutions for a new developed nonlinear equation. We presented new generalized Hirota-Satsuma coupled KdV system of second-order in time t involving phase-velocity, dispersion and nonlinearity parameters. The new system can be defined as a dual-mode model where each involved field-function possess a spreading of dual-waves instead of single-mode wave. Graphical illustrations on the effect of both phase-velocity and dispersion-nonlinearity factors on the spacing of the obtained dual-waves are provided.