A Boiti-Leon Pimpinelli equations with time-conformable derivative

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%

“…Indeed, the conformable differential operator generalizes the traditional concept of differentiability and provides the possibility of producing new and general rates of change. To see more about the validity and applications of conformable operators, we refer to the literature 28‐33 …”

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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“…Its efficiency can be observed especially in fractional differential equations in two directions, i.e space and time regard-containing this type new derivative operator. This work has motivated various researchers to take an interest in conformable derivatives models via PNLSE having conformable space-time fractional such as [19][20][21][22] and numerous efficacious techniques have been proposed to acquire exact solutions of conformable local fractal differential equations up until now. For instance, these techniques include functional variable [23], first integral [24], ¢ -G G ( ) expansion [25,26], new extended auxiliary equation [27,28] and so forth [29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

A series of abundant new optical solitons to the conformable space-time fractional perturbed nonlinear Schrödinger equation

Nestor¹,

Houwe²,

Betchewe³

et al. 2020

Phys. Scr.

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In this work, we are investigating a series of new optical soliton solutions to the perturbed nonlinear Schrödinger equation (PNLSE) having the form of kerr law nonlinearity with conformable space-time fractional. Thereby, two relevant integration tools known as new extended direct algebraic method and extended hyperbolic function method are applied to obtain varieties of optical soliton solutions. The series of soliton solutions with fractional derivative order obtained by these methods can be classified as complex trigonometric and hyperbolic functions as well as other elementary functions. Furthermore, conditions for validity of the obtained analytical solutions, graphical illustration (2-D, 3-D) point out the impact of the fractional-order used.

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A Boiti-Leon Pimpinelli equations with time-conformable derivative

Cited by 4 publications

References 15 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

A series of abundant new optical solitons to the conformable space-time fractional perturbed nonlinear Schrödinger equation

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