Solitary pulses of a conformable nonlinear differential equation governing wave propagation in low-pass electrical transmission line

This work investigates the Wick‐type stochastic and extended Korteweg‐de Vries (EKdV) equation under conformable differential operators. Novel wave solutions with soliton and periodic types are produced to the deterministic EKdV under conformable differential operators. Abundant stochastic wave solutions are explored for the Wick‐type stochastic EKdV equation by using conformable differential operators and the inverse Hermite transform. The stochastic soliton and periodic solutions are denoted as functional solutions with Brownian motion environment. For the acquired solutions, comparisons and graphical representations with three‐dimensional graphs are shown for peculiar values of the existing parameters. According to the existing literature, utilization of the conformable differential operators is a novel contribution for solving the stochastic EKDV and other stochastic nonlinear problems.

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“…To see more about the validity and applications of conformable operators, we refer to the literature. [28][29][30][31][32][33]…”

Section: Introductionmentioning

confidence: 99%

Analytical manner for abundant stochastic wave solutions of extended KdV equation with conformable differential operators

Hyder

Soliman

2021

Math Methods in App Sciences

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“…Some other outstanding studies of real-life problems by local derivatives have been made in previous works. [27][28][29][30][31][32] Besides, Hantaviruses (Order Bunyavirales, Family Hantaviridae) are diseases of animal origin. Their most common symptoms are fever, thrombocytopenia, and kidney or lung infection.…”

Section: Introductionmentioning

confidence: 99%

Modeling and numerical investigation of a conformable co‐infection model for describing Hantavirus of the European moles

Allahamou

Azroul

Hammouch

et al. 2021

Math Methods in App Sciences

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The aim of this work is to investigate theoretically and numerically a conformable-order epidemiological model of the Susceptible-Infected (SI) type. The qualitative properties of the solutions are studied. Besides, the dynamics of the problem is discussed in detail. The conformable version of the implicit and explicit Adams multistep methods is proposed with the formulation of the truncation error. An inverse optimization problem using the least square method is introduced to estimate the model parameters. Moreover, to show the effectiveness of the conformable order in describing the studied phenomena and to calibrate the model, some created data of Nova and Bruges virus in Belgium were used.

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“…More general properties of auxiliary and sub-equation function methods have been comprehensively introduced in the literature [28,29]. Moreover, there are many published methods for solving similar equations using different techniques and methods [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Extraction Complex Properties of the Nonlinear Modified Alpha Equation

Baskonus

Ercan

2021

Fractal Fract

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This paper applies one of the special cases of auxiliary method, which is named as the Bernoulli sub-equation function method, to the nonlinear modified alpha equation. The characteristic properties of these solutions, such as complex and soliton solutions, are extracted. Moreover, the strain conditions of solutions are also reported in detail. Observing the figures plotted by considering various values of parameters of these solutions confirms the effectiveness of the approximation method used for the governing model.

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Solitary pulses of a conformable nonlinear differential equation governing wave propagation in low-pass electrical transmission line

Cited by 35 publications

References 19 publications

Analytical manner for abundant stochastic wave solutions of extended KdV equation with conformable differential operators

Analytical manner for abundant stochastic wave solutions of extended KdV equation with conformable differential operators

Modeling and numerical investigation of a conformable co‐infection model for describing Hantavirus of the European moles

Extraction Complex Properties of the Nonlinear Modified Alpha Equation

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