Results 21 to 30 of about 778 (152)
Piecewise Business Bubble System under Classical and Nonsingular Kernel of Mittag–Leffler Law
Entropy, 2023 This study aims to investigate the dynamics of three agents in the emerging business bubble model based on the Mittag–Leffler law pertaining to the piecewise classical derivative and non-singular kernel.
Chao Zhang, Bo Li
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Mathematics, 2021 This paper proposed a definition of the fractional line integral, generalising the concept of the fractional definite integral. The proposal replicated the properties of the classic definite integral, namely the fundamental theorem of integral calculus ...
Gabriel Bengochea, Manuel Ortigueira
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Results in Physics, 2022 We consider a new mathematical model for the COVID-19 disease with Omicron variant mutation. We formulate in details the modeling of the problem with omicron variant in classical differential equations.
Xiao-Ping Li +6 more
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Nonlinear Analysis: Modelling and Control, 2021 In this paper, we study the multi-point boundary value problems for a new kind of piecewise differential equations with left and right fractional derivatives and delay. In this system, the state variables satisfy the different equations in different time intervals, and they interact with each other through positive and negative delay.
Yuxin Zhang, Xiping Liu, Mei Jia
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Stability Analysis of Fractional-Order Periodic Piecewise Nonlinear Systems
IEEE Access, 2023 This paper investigates the stability problem of fractional-order periodic piecewise nonlinear systems. As a preparation, the existence and uniqueness of solutions of the system are derived under the Lipschitz condition and expressed in an equivalent ...
Qingqing Li +4 more
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Collocation-Based Approximation for a Time-Fractional Sub-Diffusion Model
Fractal and Fractional, 2023 We consider the numerical solution of a one-dimensional time-fractional diffusion problem, where the order of the Caputo time derivative belongs to (0, 1). Using the technique of the method of lines, we first develop from the original problem a system of
Kaido Lätt +3 more
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A robust study of a piecewise fractional order COVID-19 mathematical model
Alexandria Engineering Journal, 2022 In the current manuscript, we deal with the dynamics of a piecewise covid-19 mathematical model with quarantine class and vaccination using SEIQR epidemic model.
Anwar Zeb +3 more
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On the chaotic systems of attraction with fractional operators in a novel Lorenz system
Results in Control and OptimizationIn this research, a novel variant model of the classical Lorenz system is proposed by reformulating both the classical and fractional-order Lorenz systems through a new framework based on piecewise fractional derivatives.
Atul Kumar +4 more
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Piecewise fractional derivatives and wavelets in epidemic modeling
Alexandria Engineering JournalIn this paper, we propose a novel methodology for studying the dynamics of epidemic spread, focusing on the utilization of fundamental mathematical concepts related to piecewise differential and integral operators. These mathematical tools play a crucial role in the process of modeling epidemic phenomena, enabling us to investigate the behavior of ...
Mutaz Mohammad +2 more
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Fractional Stochastic Van der Pol Oscillator with Piecewise Derivatives
Journal of MathematicsThis work investigates piecewise Vand der Pol oscillator under the arbitrary order, piecewise derivatives, and power nonlinearities to present a novel idea of piecewise systems using the classical‐power‐law randomness and classical Mittag–Leffler‐law‐randomness.
Atul Kumar +5 more
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