Interaction of complex short wave envelope and real long wave described by the coupled Schrödinger–Boussinesq equation with variable coefficients and beta space fractional evolution
M.F. Uddin,M. G. Hafez +1 more
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In this paper, the authors deal with the interaction of complex short wave envelope and real long wave described by the coupled Schrodinger-Boussinesq equation with variable-coefficients and beta space fractional evolution.Abstract:
This work deals with the interaction of complex short wave envelope and real long wave described by the coupled Schrodinger–Boussinesq equation with variable-coefficients and beta space fractional evolution. The above interacting wave phenomena are studied by evaluating new non-autonomous analytical solutions of the considered coupled equation. The solutions of the equations are obtained by modifying the auxiliary ordinary differential equation method and taking the conformable beta derivative properties into account. The behaviors of the resonance nonautonomous structures are discussed with physical insight for diverse consideration of the chance functions of time-dependent in the solutions.read more
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References
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Book
Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
TL;DR: In this article, the authors present a method for computing fractional derivatives of the Fractional Calculus using the Laplace Transform Method and the Fourier Transformer Transform of fractional Derivatives.
Journal ArticleDOI
New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model
Abdon Atangana,Dumitru Baleanu +1 more
TL;DR: In this article, a new fractional derivative with non-local and no-singular kernel was proposed and applied to solve the fractional heat transfer model, and some useful properties of the new derivative were presented.
Journal ArticleDOI
A new definition of fractional derivative
TL;DR: A new definition of fractional derivative and fractional integral is given and it is shown that it is the most natural definition, and the most fruitful one.
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New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model
Abdon Atangana,Dumitru Baleanu +1 more
TL;DR: In this paper, a new fractional derivative with non-local and no-singular kernel was proposed and applied to solve the fractional heat transfer model, and some useful properties of the new derivative were presented.
Book
Fractional calculus an introduction for physicists
TL;DR: Fractional Derivatives Friction Forces Fractional Calculus The Fraction Harmonic Oscillator Wave Equations and Parity Nonlocality and Memory Effects Quantum Mechanics Fractionals Spin Factorization Symmetries The Fractal Symmetric Rigid Rotor Fraction Spectroscopy of Hadrons Higher Dimensional Fractionally Rotation Groups
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