Time-Fractional Differential Equations with an Approximate Solution
Journal of Nigerian Society of Physical Sciences, 2022 This paper shows how to use the fractional Sumudu homotopy perturbation technique (SHP) with the Caputo fractional operator (CF) to solve time fractional linear and nonlinear partial differential equations.
Lamees K. Alzaki, Hassan Kamil Jassim
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Computational analysis of time-fractional models in energy infrastructure applications
Alexandria Engineering Journal, 2023 In this paper, we propose an effective numerical method to solve the one- and two-dimensional time-fractional convection-diffusion equations based on the Caputo derivative.
Imtiaz Ahmad +5 more
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Displaying Projectile Motion with Nonlinear Air Resistance Using Caputo’s Definition
, 2022 Abstract Displaying projectile in a resisting medium for two dimension have two forms; An Ordinary differential equation and a fractional differential equation describe its behavior. The two equations include a nonlinear term, which represents the effect of the air resistance on the motion of the projectile.
Emad K. Jaradat +4 more
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Stability of Caputo fractional differential equations by Lyapunov functions [PDF]
, 2015 summary:The stability of the zero solution of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov-like functions.
Hristova, Snezhana +5 more
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Analysis of an Electrical Circuit Using Two-Parameter Conformable Operator in the Caputo Sense
, 2021 The problem of voltage dynamics description in a circuit containing resistors, and at least two fractional order elements such as supercapacitors, supplied with constant voltage is addressed.
Ewa Piotrowska, Łukasz Sajewski
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Three-species predator-prey model with respect to Caputo and Caputo-Fabrizio fractional operators
, 2020 We study distributed lag effects in three-dimensional Lotka-Volterra systems by applying the concept of fractional calculus. We derive a new numerical method that provides enhanced stability for the Caputo-Fabrizio operator based on Adams-Bashforth ...
Moein Khalighi +7 more
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Scientific Reports, 2021 In this paper, we investigate an norovirus (NoV) epidemic model with stochastic perturbation and the new definition of a nonlocal fractal–fractional derivative in the Atangana–Baleanu–Caputo (ABC) sense.
Ting Cui, Peijiang Liu, Anwarud Din
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How existential dependence can ground existential grounding
, 2021 Schnieder (2020) argues, against Orilia (2009) and Koslicki (2013), that claims of existential grounding of the form “the fact that x exists is grounded in the fact that y is F" cannot be grounded in claims of existen- tial dependence of the form “x ...
Stefano Caputo
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Fractional Cauchy Problem with Caputo Nabla Derivative on Time Scales [PDF]
, 2020 The definition of Caputo fractional derivative is given and some of its properties are discussed in detail. After then, the existence of the solution and the dependency of the solution upon the initial value for Cauchy type problem with fractional Caputo
Jiang Zhu, Ling Wu
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A hybrid B-spline collocation technique for the Caputo time fractional nonlinear Burgers’ equation
Beni-Suef University Journal of Basic and Applied Sciences, 2023 Background This study proposes an efficient and stable technique based on new hybrid B-spline (HB-spline) functions for the numerical treatment of the Caputo time fractional nonlinear Burgers’ (TFNB) equation. The time derivative is discretized using the
Mohammad Tamsir +3 more
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