Role of viscoelasticity on thermoelectromechanical system subjected to annular regions of cylinders in the existence of a uniform inclined magnetic field

Ali, Qasim; Yassen, Mansour F.; Asiri, Saeed; Pasha, Amjad Ali; Abro, Kashif Ali

doi:10.1140/epjp/s13360-022-02951-w

Cited by 11 publications

(1 citation statement)

References 33 publications

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“…Here, we are interested for analytical solutions of fractionalized Klein–Gordon equation through Laplace transform. Due to this reason, it is necessary to define the first order derivative property of Laplace transform for CF fractional operator of differentiations in Ali et al ( 2023 ) and AB fractional operator of differentiations in Ali et al ( 2022 ). …”

Section: Non-singular and Non-local Mathematical Model Of Klein–gordo...mentioning

confidence: 99%

Analytical solution for the dynamics and optimization of fractional Klein–Gordon equation: an application to quantum particle

et al. 2023

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Klein–Gordon equation characterizes spin-particles through neutral charge field within quantum particle. In this context, fractionalized Klein–Gordon equation is investigated for the comparative analysis of the newly presented fractional differential techniques with non-singularity among kernels. The non-singular and non-local kernels of fractional differentiations have been employed on Klein–Gordon equation for the development of governing equation. The analytical solutions of Klein–Gordon equation have been traced out by fractional techniques by means of Laplace transforms and expressed in terms of series form and gamma function. The data analysis of fractionalized Klein–Gordon equation is observed for Pearson's correlation coefficient, probable error and regression analysis. For the sake of comparative analysis of fractional techniques, 2D sketch, 3D pie chart , contour surface with projection and 3D bar sketch have been depicted on the basis of embedded parameters. Our results suggest that varying frequency has reversal trends for quantum wave and de Broglie wave.

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Section: Non-singular and Non-local Mathematical Model Of Klein–gordo...mentioning

confidence: 99%

Analytical solution for the dynamics and optimization of fractional Klein–Gordon equation: an application to quantum particle

et al. 2023

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Exploring the role of inclined magnetic field in water-based hybrid nanofluid flow containing copper and alumina nanoparticles over a convectively heated surface: a numerical investigation

Lone,

Mahnashi,

Hamali

et al. 2024

Colloid Polym Sci

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Mathematical modeling of neuron model through fractal-fractional differentiation based on maxwell electromagnetic induction: application to neurodynamics

Abro,

Atangana

2024

Neural Comput & Applic

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The electrical activities of the reliable neuron models have different responses within intrinsic biophysical effects and can functionalize for asymmetric coexisting electrical activities under anti-monotonicity phenomenon. This manuscript presents mathematical analysis of neuron model based on Maxwell electromagnetic induction through newly proposed fractal-fractional differential and integral operators. The neuron model based on Maxwell electromagnetic induction changes with time along a fractal dimension that describes the cumulative chaotic phenomenon. The cumulative chaotic phenomenon of neuron model is mathematically modeled via exponential and Mittag–Leffler kernels with variable and fixed fractal and fractional orders. In order to exhibit fractal properties and memory effects, the neuron model is discretized by means of Adams–Bashforth-Moulton method that allows explicitly to compute the approximate solution of neuron model. The comparison of neuron model based on memory effect and fractal dimension have distinguished the evolution of neuron model at (i) variability of fractal order with fixed fractional order, (ii) variability of fractional order with fixed fractal order, and (iii) variability of fractal order as well fractional order.

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Role of viscoelasticity on thermoelectromechanical system subjected to annular regions of cylinders in the existence of a uniform inclined magnetic field

Cited by 11 publications

References 33 publications

Analytical solution for the dynamics and optimization of fractional Klein–Gordon equation: an application to quantum particle

Analytical solution for the dynamics and optimization of fractional Klein–Gordon equation: an application to quantum particle

Exploring the role of inclined magnetic field in water-based hybrid nanofluid flow containing copper and alumina nanoparticles over a convectively heated surface: a numerical investigation

Mathematical modeling of neuron model through fractal-fractional differentiation based on maxwell electromagnetic induction: application to neurodynamics

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