Results 31 to 40 of about 20,855,140 (305)
Analysis of Positive Linear Continuous–Time Systems Using the Conformable Derivative
International Journal of Applied Mathematics and Computer Science, 2018 Positive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear system is derived. Necessary and sufficient conditions for the positivity of linear systems are established.
Kaczorek Tadeusz
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Stability Results for Two-Dimensional Systems of Fractional-Order Difference Equations
Mathematics, 2020 Linear autonomous incommensurate systems that consist of two fractional-order difference equations of Caputo-type are studied in terms of their asymptotic stability and instability properties.
Oana Brandibur +3 more
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Controllability of damped dynamical systems modelled by Hilfer fractional derivatives
Journal of Taibah University for Science, 2022 In this article, we investigate the controllability of damped dynamical system modelled by Hilfer derivative of fractional order [Formula: see text] and [Formula: see text].
S. Naveen +3 more
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MathematicsFractional calculus provides tools to model systems with memory effects; when coupled with delays, they model process histories inspired by two independent sources—the memory of the fractional derivative and the impact conditioned by the delays.
Hristo Kiskinov +3 more
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Modeling of Macroeconomics by a Novel Discrete Nonlinear Fractional Dynamical System
Discrete Dynamics in Nature and Society, 2013 We propose a new nonlinear economic system with fractional derivative. According to the Jumarie’s definition of fractional derivative, we obtain a discrete fractional nonlinear economic system.
Zhenhua Hu, Wen Chen
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Fractional order continuity of a time semi-linear fractional diffusion-wave system
Alexandria Engineering Journal, 2020 In this work, we consider the time-fractional diffusion equations depend on fractional orders. In more detail, we study on the initial value problems for the time semi-linear fractional diffusion-wave system and discussion about continuity with respect ...
Nguyen Duc Phuong +5 more
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Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations
Journal of New Theory, 2023 In this study, Chebyshev polynomials have been applied to construct an approximation method to attain the solutions of the linear fractional Fredholm integro-differential equations (IDEs).
Dilek Varol
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Descriptor fractional linear systems with regular pencils [PDF]
International Journal of Applied Mathematics and Computer Science, 2012 Methods for finding solutions of the state equations of descriptor fractional discrete-time and continuous-time linear systems with regular pencils are proposed. The derivation of the solution formulas is based on the application of the Z transform, the Laplace transform and the convolution theorems.
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Solution of Linear Fractional Order Systems with Variable Coefficients [PDF]
Fractional Calculus and Applied Analysis, 2020 The paper deals with the initial value problem for linear systems of FDEs with variable coefficients involving Riemann--Liouville and Caputo derivatives. The technique of the generalized Peano--Baker series is used to obtain the state-transition matrix. Explicit solutions are derived both in the homogeneous and inhomogeneous case.
Matychyn, Ivan, Onyshchenko, Viktoriia
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Lagrange Adjoint System for Linear Fractional Systems with Distributed Delays
Fractal and FractionalIn the present work we introduce an appropriate definition of the notion of a Lagrange (formal) adjoint system for homogeneous systems with incommensurate-order derivatives in Caputo’s sense and distributed delays. Under natural conditions, the existence
Nedyu Popivanov +3 more
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