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RISFractional Hyperchaotic Telecommunication Systems: A New Paradigm
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The dynamics of hyperchaotic and fractionalorder systems have increasing attracted attention in recent years. In this paper, we mix two complex dynamics to construct a new telecommunication system. Using a hyperchaotic ...
Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this article, a new algorithm is proposed to solve the nonlinear fractional-order one-dimensional solute transport system. The spectral collocation technique is considered with the Fibonacci polynomial as a basis function ...
Fractional Dynamics and Analysis of Coupled Schrödinger-KdV Equation With Caputo-Katugampola Type Memory
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Fundamental purpose of the current research article is to analyze the behavior of obtained results of time fractional nonlinear coupled Schrödinger-KdV equation, via implementing an effective analytical technique. In this ...
Numerical Computation of a Fractional Model of Differential Difference Equation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In the present article, we apply a numerical scheme, namely, homotopy analysis Sumudu transform algorithm, to derive the analytical and numerical solutions of a nonlinear fractional differentialdifference problem occurring ...
On a Discrete Chaos Induction Via an Aperiodic Kicks Pattern
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this work, a class of kicked systems perturbed with an irregular kicks pattern is studied and formation of a chaos in the senses of Devaney and Li–Yorke in the corresponding discretized system is investigated. Beside a ...
An Efficient Nonstandard Finite Difference Scheme for a Class of Fractional Chaotic Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we formulate a new nonstandard finite difference (NSFD) scheme to study the dynamic treatments of a class of fractional chaotic systems. To design the new proposed scheme, an appropriate nonlocal framework ...
A Mechanical Model Based on Conformal Strain Energy and Its Application to Bending and Buckling of Nanobeam Structures
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In the present work, a nonlocal model based on the conformal strain energy, utilizing the conformable derivative definition, has been obtained. The model has two additional free parameters compared to the classical (local) ...
A Mechanical Model Based on Conformal Strain Energy and Its Application to Bending and Buckling of Nanobeam Structures
Publisher: American Society of Mechanical Engineers (ASME)
Abstract: In the present work, a nonlocal model based on the conformal strain energy, utilizing the conformable derivative definition, has been obtained. The model has two additional free parameters compared to the classical (local) ...
Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This study is dedicated to the computation and analysis of solitonic structures of a nonlinear Sasa–Satsuma equation that comes in handy to understand the propagation of short light pulses in the monomode fiber optics with ...
On the Fractional Diffusion Equation Associated With Exponential Source and Operator With Exponential Kernel
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we investigate the well-posedness of mild solutions of the time-fractional diffusion equation with an exponential source function and the Caputo-Fabrizio derivative of a fractional order α∈(0,1). Some linear ...