In this paper, we have generalized the fractional cubic isothermal auto-catalytic chemical system (FCIACS) with Liouville-Caputo, Caputo- Fabrizio-Caputo, and Atangana-Baleanu-Caputo fractional time derivatives, respectively.
Gómez Aguilar, J.F., Saad, Khaled M.
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Determination of the Order of Fractional Derivative for Subdiffusion Equations. [PDF]
Fract Calc Appl Anal, 2020 Ashurov R, Ashurov R, Umarov S.
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All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations. [PDF]
Calcolo, 2021 Donatelli M +3 more
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A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control. [PDF]
Adv Differ Equ, 2020 Shaikh AS, Shaikh IN, Nisar KS.
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On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative. [PDF]
Chaos Solitons Fractals, 2020 Abdo MS, Shah K, Wahash HA, Panchal SK.
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Nonlinear EngineeringIn this paper, a distributed–order Caputo fractional derivative is used to represent nonlinear heat wave propagation in rigid thermal conductors using a novel numerical approach. The suggested model takes into consideration memory effects that are a part
Sweilam Nasser H. +4 more
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Petrov-Galerkin method for small deflections in fourth-order beam equations in civil engineering
Nonlinear EngineeringThis study explores the Petrov–Galerkin method’s application in solving a linear fourth-order ordinary beam equation of the form u″″+qu=fu^{\prime\prime} ^{\prime\prime} +qu=f.
Youssri Youssri Hassan +3 more
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Penalty method for unilateral contact problem with Coulomb's friction in time-fractional derivatives
Demonstratio MathematicaThe purpose of this work is to study a mathematical model that describes a contact between a deformable body and a rigid foundation. A linear viscoelastic Kelvin-Voigt constitutive law with time-fractional derivatives describes the material’s behavior ...
Essafi Lakbir, Bouallala Mustapha
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Higher-dimensional physical models with multimemory indices: analytic solution and convergence analysis. [PDF]
Adv Differ Equ, 2020 Jaradat I +4 more
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Fundamental solutions for semidiscrete evolution equations via Banach algebras. [PDF]
Adv Differ Equ, 2021 González-Camus J, Lizama C, Miana PJ.
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