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1581
Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation
Published 2017-01-01“…At the end, three types of exact traveling wave solutions are obtained which indicate that the method is very practical and suitable for solving nonlinear fractional partial differential equations.…”
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1582
Solving Quantum Dynamics with a Lie-Algebra Decoupling Method
Published 2025-01-01“…The approach involves identifying a Lie algebra that governs the dynamics of the system, enabling the derivation of differential equations to solve the Schrödinger equation. …”
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1583
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1584
Stability Analysis of a Class of Neural Networks with State-Dependent State Delay
Published 2020-01-01“…The differential equations with state-dependent delay are very important equations because they can describe some problems in the real world more accurately. …”
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1585
Vibrations of Plates and Shells with Attached Mass
Published 2024-10-01“…The transition from the initial dynamic system to the solution of the final system of nonlinear ordinary differential equations was achieved by the Bubnov–Galerkin method. …”
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1586
Mathematical Modeling of Commensalism Between Two Species with Limited Resources.
Published 2024“…This model is characterized by a pair of first-order non-linear coupled differential equations. All four equilibrium points of the model are identified and the nature of stability of the four equilibrium points is discussed using the Jacobian and trace determinant method. …”
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Thesis -
1587
Mathematical Modelling of the Transmission of Malaria.
Published 2024“…The model takes in the ordinally differential equations. The basic reproduction number Ro is obtained. …”
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Thesis -
1588
Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination
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Thesis -
1589
A Double Resistive–Capacitive Approach for the Analysis of a Hybrid Battery–Ultracapacitor Integration Study
Published 2025-01-01“…Consequently, the set of differential equations describing the HESS dynamics is provided. …”
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1590
Second order slip micropolar MHD hybrid nanofluid flow over a stretching surface with uniform heat source and activation energy: Numerical computational approach
Published 2025-03-01“…These PDEs are subsequently transformed into a set of ordinary differential equations (ODEs) using similarity transformations. …”
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1591
Stoichiometric Plant-Herbivore Models and Their Interpretation
Published 2004-06-01“…Our model takes the simple form of asystem of two autonomous ordinary differential equations. It canbe shown that our model includes the LKE model (Loladze, Kuang and Elser (2000)) as a special case. …”
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1592
On the Regularity of the Entropy Solution of the Fractional-Semigeostrophic Equation Using Ultrafilters
Published 2024-12-01“…This work lays the groundwork for future studies on fractional partial differential equations in geophysical contexts, potentially leading to more accurate predictive models in meteorology and oceanography.…”
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1593
Solution of Moving Boundary Space-Time Fractional Burger’s Equation
Published 2014-01-01“…The fractional Riccati expansion method is used to solve fractional differential equations with variable coefficients. To illustrate the effectiveness of the method, the moving boundary space-time fractional Burger’s equation is studied. …”
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1594
Solution theory of fractional SDEs in complete subcritical regimes
Published 2025-01-01“…We consider stochastic differential equations (SDEs) driven by a fractional Brownian motion with a drift coefficient that is allowed to be arbitrarily close to criticality in a scaling sense. …”
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1595
Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation
Published 2014-01-01“…We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials, and a general Riemann theta function in terms of the Hirota method. …”
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1596
Nonexistence of Global Solutions for Coupled System of Pseudoparabolic Equations with Variable Exponents and Weak Memories
Published 2021-01-01“…The nonsolvability of boundary value problem for damped pseudoparabolic differential equations with variable exponents is investigated. …”
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1597
Mathematical Model for Thermal Processes of Single-Core Power Cable
Published 2012-10-01“…Thermal processes between homogeneous bodies are described by a system of four differential equations. The paper contains a proposal to solve this system of equations with the help of a thermal equivalent circuit and the Laplace transform. …”
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1598
Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model
Published 2023-01-01“…The method’s extension to other time-fractional partial differential equations (PDEs) is also possible. The algorithm’s complexity analysis illustrates the concise function’s efficiency advantage over the original expression when solving time-fractional PDEs. …”
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1599
Dynamic Behaviors and Analytical Solutions of the Damped (2+1)-Dimensional Nonlinear Schrödinger Equation
Published 2024-01-01“…Our results indicate that the extended systematic method for solving differential equations is more convenient and yields richer solutions. …”
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1600
A New Family of Phase-Fitted and Amplification-Fitted Runge-Kutta Type Methods for Oscillators
Published 2012-01-01“…In order to solve initial value problems of differential equations with oscillatory solutions, this paper improves traditional Runge-Kutta (RK) methods by introducing frequency-depending weights in the update. …”
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