International Journal of Differential Equations
 Journal metrics
Acceptance rate25%
Submission to final decision46 days
Acceptance to publication46 days
CiteScore1.400
Impact Factor-
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Stability of Fuzzy Dynamical Systems via Lyapunov Functions

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Bénard Problem for Slightly Compressible Fluids: Existence and Nonlinear Stability in 3D

This paper shows the existence, uniqueness, and asymptotic behavior in time of regular solutions (a la Ladyzhenskaya) to the Bénard problem for a heat-conducting fluid model generalizing the classical Oberbeck–Boussinesq one. The novelty of this model, introduced by Corli and Passerini, 2019, and Passerini and Ruggeri, 2014, consists in allowing the density of the fluid to also depend on the pressure field, which, as shown by Passerini and Ruggeri, 2014, is a necessary request from a thermodynamic viewpoint when dealing with convective problems. This property adds to the problem a rather interesting mathematical challenge that is not encountered in the classical model, thus requiring a new approach for its resolution.

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Variational Iteration Method and Differential Transformation Method for Solving the SEIR Epidemic Model

The aim of the present study is to analyze and find a solution for the model of nonlinear ordinary differential equations (ODEs) describing the so-called coronavirus (COVID-19), a deadly and most parlous virus. The mathematical model based on four nonlinear ODEs is presented, and the corresponding numerical results are studied by applying the variational iteration method (VIM) and differential transformation method (DTM).

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Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler–Maxwell Equation

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Solvability in Gevrey Classes of Some Nonlinear Fractional Functional Differential Equations

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Stability Analysis of a Fractional-Order Model for Abstinence Behavior of Registration on the Electoral Lists

In this work, we propose a fractional-order model that describes the dynamics of citizens who have the right to register on the electoral lists and the negative influence of abstainers on the potential electors. By using Routh–Hurwitz criteria and constructing Lyapunov functions, the local and the global stability of abstaining-free equilibrium and abstaining equilibrium are obtained. Finally, some numerical simulations are performed to verify the theoretical analysis, and they are given for different parameter setting of the order of derivative .

International Journal of Differential Equations
 Journal metrics
Acceptance rate25%
Submission to final decision46 days
Acceptance to publication46 days
CiteScore1.400
Impact Factor-
 Submit

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