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   Articles with "fractal fractional" as a keyword



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New chaotic attractors: Application of fractal‐fractional differentiation and integration

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recommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.6432

Abstract: Very recently, the concept of fractal differentiation and fractional differentiation has been combined to produce new differentiation operators. The new operators were constructed using three different kernels, namely, power law, exponential decay, and the generalized… read more here.

Keywords: differentiation; new operators; fractal fractional; fractal dimension ... See more keywords
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Developing the discretization method for fractal‐fractional two‐dimensional Fredholm–Volterra integro‐differential equations

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recommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.7694

Abstract: This paper contains the computational approach based on Mott polynomials together with the two‐dimensional Legendre–Gauss (LG) quadrature rule for fractal‐fractional two‐dimensional Fredholm–Volterra (FF‐2D‐FV) integro‐differential equations. Furthermore, we applied the modified operational matrices of integration and… read more here.

Keywords: fredholm volterra; fractal fractional; volterra integro; fractional two ... See more keywords
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Fractal fractional optimal control for a novel malaria mathematical model; a numerical approach

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recommendations! Published in 2020 at "Results in physics"

DOI: 10.1016/j.rinp.2020.103446

Abstract: Abstract In this work, we apply the new idea of fractal fractional operator to the optimal control for malaria mathematical model, where the derivative is defined in the sense of Caputo and the parameters are… read more here.

Keywords: malaria mathematical; control; fractal fractional; optimal control ... See more keywords
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Fractal-fractional mathematical modeling and forecasting of new cases and deaths of COVID-19 epidemic outbreaks in India

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recommendations! Published in 2021 at "Results in Physics"

DOI: 10.1016/j.rinp.2020.103702

Abstract: Fractional-order derivative-based modeling is very significant to describe real-world problems with forecasting and analyze the realistic situation of the proposed model. The aim of this work is to predict future trends in the behavior of… read more here.

Keywords: cases deaths; mathematical modeling; model; fractional mathematical ... See more keywords
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Modeling the dynamics of COVID-19 using fractal-fractional operator with a case study

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recommendations! Published in 2021 at "Results in Physics"

DOI: 10.1016/j.rinp.2021.105103

Abstract: This research study consists of a newly proposed Atangana–Baleanu derivative for transmission dynamics of the coronavirus (COVID-19) epidemic. Taking the advantage of non-local Atangana–Baleanu fractional-derivative approach, the dynamics of the well-known COVID-19 have been examined… read more here.

Keywords: study; dynamics covid; covid using; modeling dynamics ... See more keywords
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Analysis of two avian influenza epidemic models involving fractal-fractional derivatives with power and Mittag-Leffler memories.

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recommendations! Published in 2019 at "Chaos"

DOI: 10.1063/1.5117285

Abstract: Since certain species of domestic poultry and poultry are the main food source in many countries, the outbreak of avian influenza, such as H7N9, is a serious threat to the health and economy of those… read more here.

Keywords: avian influenza; involving fractal; mittag leffler; influenza epidemic ... See more keywords
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A fractal-fractional order Atangana-Baleanu model for Hepatitis B virus with asymptomatic class

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recommendations! Published in 2021 at "Physica Scripta"

DOI: 10.1088/1402-4896/abf67c

Abstract: Hepatitis B is still a major issue in most countries of the world. Due to many death and infection cases, the disease becoming a life-threatening issue and needs proper attention for its eradication. The main… read more here.

Keywords: asymptomatic class; atangana baleanu; hepatitis; model ... See more keywords
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Finite Difference Simulation of Fractal-Fractional Model of Electro-Osmotic Flow of Casson Fluid in a Micro Channel

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recommendations! Published in 2022 at "IEEE Access"

DOI: 10.1109/access.2022.3148970

Abstract: In this work, an evolving definition of the fractal-fractional operator with exponential kernel was employed to examine Casson fluid flow with the electro-osmotic phenomenon. Electrically conducted Casson fluid flow with the effect of the electro-osmotic… read more here.

Keywords: casson fluid; fractal fractional; electro osmotic; model ... See more keywords
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DYNAMICS OF SIR MATHEMATICAL MODEL FOR COVID-19 OUTBREAK IN PAKISTAN UNDER FRACTAL-FRACTIONAL DERIVATIVE

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recommendations! Published in 2021 at "Fractals"

DOI: 10.1142/s0218348x21501206

Abstract: There are still mathematical predictions in the fight against epidemics. Speedy expansion, ways and procedures for the pandemic control require early understanding when solutions with better computer-based mathematical modeling and prognosis are developed. Despite high… read more here.

Keywords: dynamics sir; mathematical model; fractal fractional; model ... See more keywords
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Bright Soliton Behaviours of Fractal Fractional Nonlinear Good Boussinesq Equation with Nonsingular Kernels

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14102113

Abstract: In this manuscript, we investigate the nonlinear Boussinesq equation (BEQ) under fractal-fractional derivatives in the sense of the Caputo–Fabrizio and Atangana–Baleanu operators. We use the double modified Laplace transform (LT) method to determine the general… read more here.

Keywords: soliton behaviours; fractal fractional; boussinesq equation; bright soliton ... See more keywords
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Remarks on Fractal-Fractional Malkus Waterwheel Model with Computational Analysis

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14102220

Abstract: In this paper, we investigate the fractal-fractional Malkus Waterwheel model in detail. We discuss the existence and uniqueness of a solution of the fractal-fractional model using the fixed point technique. We apply a very effective… read more here.

Keywords: fractional malkus; fractal fractional; malkus waterwheel; waterwheel model ... See more keywords