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Fractional Derivative Models
Models that are described by the differential equations with the derivatives of the fractional order are considered including the fractional Fourier...
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Fractional Powers of the Quaternionic d-Bar Derivative
This work introduces fractional d-bar derivatives in the setting of quaternionic analysis, by giving meaning to fractional powers of the quaternionic...
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Propagation of dust ion acoustic waves with Riesz fractional derivative
In the research paper, the propagation of nonlinear dust ion acoustic solitary waves in a collisionless dusty plasma consisting of negatively charged...
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New optical quantum conformable fractional derivative for spherical electromagnetic tube
In this article, we propose to inspect conformable fractional derivative of the spherical spacelike magnetic curves in the 2-deSitter space. Also, we...
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Analytical soliton solutions of time-fractional higher-order Sasa-Satsuma equations: nonlinear optics and beyond and the impact of fractional-order derivative
The Sasa-Satsuma equation is a widely used mathematical model in the fields of nonlinear optics, ultra-short optical pulse propagation, pulse...
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Novel computational technique for fractional Kudryashov–Sinelshchikov equation associated with regularized Hilfer–Prabhakar derivative
In the present paper we propose a novel analytical technique to obtain the solution of nonlinear partial differential equations. Additionally, we...
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Non-Linear Resonances and Chaotic Dynamics of a Rotating Gyroscope Under a Fractional Order Derivative Dam**
This paper deals with the action of the fractional order derivative on nonlinear resonances and its analysis on the chaotic dynamics of an excited...
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Study on generalized fuzzy fractional human liver model with Atangana–Baleanu–Caputo fractional derivative
This study aims to develop a novel fuzzy fractional model for the human liver that incorporates the ABC fractional differentiability, also known as...
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An Approximate Analytic Solution for the Multidimensional Fractional-Order Time and Space Burger Equation Based on Caputo-Katugampola Derivative
The Burger equation has been widely used to study nonlinear acoustic plane waves in gas-filled tubes, waves in shallow water, and shock waves in gas....
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On the Van der Waals model on granular matters with truncated M-fractional derivative
In this work, exact solutions of the Van der Waals model (vdWm) are investigated with a new algebraic analytical method. The closed-form analysis of...
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Effect of a new local derivative on space-time fractional nonlinear Schrödinger equation and its stability analysis
The study presented investigates the space-time fractional nonlinear Schrödinger equation, which is important in telecommunication industry,...
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Bird-Like Trajectories in 6D Chaotic System Integrated with Fractional Order Derivative, Memristor, and Encryption
This paper reports a novel six-dimensional nonlinear dynamical system with the tangent hyperbolic memristor circuit and amalgamated image encryption....
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Effects of fractional derivative on fiber optical solitons of (2 + 1) perturbed nonlinear Schrödinger equation using improved modified extended tanh-function method
This work explores the effect of fractional derivative on the fourth-order nonlinear Schrödinger equation with Kerr law nonlinearity, a highly...
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Stability and numerical analysis of fractional BBM-Burger equation and fractional diffusion-wave equation with Caputo derivative
This paper gives a highly efficient technique to analyse the fractional BBM-Burger equation and fractional Diffusion-Wave equation. These equations...
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Exact solutions, bifurcation analysis and chaotic behavior of high-order nonlinear Schrödinger equation with conformal fractional derivative
This study thoroughly investigates the dynamical properties, analytical solutions and chaotic behavior of the high-order nonlinear Schrödinger...
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Optical soliton solutions: the evolution with changing fractional-order derivative in Biswas–Arshed and Schrödinger Kerr law equations
The space–time fractional Biswas–Arshed and Schrödinger Kerr law equations featuring beta derivative hold substantial application in nonlinear...
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New semi-analytical solution of fractional Newell–Whitehead–Segel equation arising in nonlinear optics with non-singular and non-local kernel derivative
In this paper, a combined form of Laplace transform is applied with the Adomian Decomposition technique for the first time to obtain new...
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A two-temperature model and fractional order derivative in a rotating thick hollow cylinder with the magnetic field
A novel multi-phase-lags model with fractional order derivative is introduced to study a thick hollow cylinder with two temperatures under the...
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Explicit Soliton Solutions to the Fractional Order Nonlinear Models through the Atangana Beta Derivative
The nonlinear space-time fractional Cahn-Allen and space-time fractional Benjamin-Bona-Mahony equations have significant applications in the fusion...
