Results 51 to 60 of about 194 (161)
Alexandria Engineering Journal, 2020 In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi +2 more
doaj +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The present study investigates the controllability problems for higher‐order semilinear fractional differential systems (HOSLFDSs) with state and control delays in the context of the Caputo fractional derivative. Exploiting the invertibility of the Gramian matrix of fractional order, the necessary and sufficient conditions for the controllability ...
Anjapuli Panneer Selvam +4 more
wiley +1 more source
Results in Physics, 2020 The time-fractional problem is a class of important models to represent the real phenomena. We construct new solitary waves for the space-time fractional simplified modified Camassa-Holm (MCH) and the time fractional Phi-4 equations using the unified ...
Mahmoud A.E. Abdelrahman +1 more
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A model of competing species that exhibits zip bifurcation
Revista Integración, 2017 The purpose of this paper is to present a concrete model of competing population species that exhibits a phenomenon called zip bifurcation. The Zip Bifurcation was introduced by Farkas in 1984 for a three dimensional ODE prey-predator system describing a
Luis F. Echeverri +2 more
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A Comparative Study of the Pendulum Equation Using Two Analytical Methods
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper presents a comprehensive comparison between the modified harmonic balance method (MHBM) and He’s frequency formulation (HFF) for solving the nonlinear dynamics of an excited pendulum constrained by a crank‐shaft‐slider mechanism (CSSM).
Nazmul Sharif +2 more
wiley +1 more source
Dynamics of particulate emissions in the presence of autonomous vehicles
Open MathematicsAround one third of CO2{{\rm{CO}}}_{2} emissions in the atmosphere are linked to vehicular traffic. Pollutant agents have an impact on the environment, in particular, the increased presence of particulate matter (PM) creates negative effects on human ...
Briani Maya +3 more
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, 2021 In this paper, governed by the fundamental solutions we introduce the Green's function of the second-order differential equations in general form with respect to boundary conditions and deal with the solvability of the innite system of second-order ...
Mursaleen, M., Pourhadi, E., Saadati, R.
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Normal forms of piecewise-smooth monodromic systems
Advances in Nonlinear AnalysisNormal form is an important tool in the study of bifurcations but, unlike those for smooth differential systems, normal forms for piecewise-smooth systems have difficulty with the near-identity transformation, which is constructed piecewise but needs to ...
Li Jiahao, Chen Xingwu, Zhang Weinian
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Friedmann equations as n-dimensional dynamical system
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we study dynamics of the standard cosmological model of the universe assuming that it is filled with n types of non-interacting barotropic perfect fluids.
Branković Danijela
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Semi Analytic Solution of Hodgkin-Huxley Model by Homotopy Perturbation Method
, 2021 Hodgkin-Huxley model is a system of four non-linear coupleddifferential equations which describes and explains the threshold and actionpotential by a stimulus arising in a single neuron.
Hisham bin Zubair Syed; Department of Mathematical Sciences, Institute of Business Administration-Karachi +1 more
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