New Solutions to the Fractional Perturbed Chen Lee Liu Model with Time-Dependent Coefficients: Applications to Complex Phenomena in Optical Fibers
DOI:
https://doi.org/10.37256/cm.5420245181Keywords:
conformable fractional derivative, mapping method, Chen Lee Liu model, time-dependent coefficientsAbstract
In this paper, we consider the fractional perturbed Chen Lee Liu model with time-dependent coefficients (FPCLLM-TDCs). We apply the mapping method in order to get hyperbolic, elliptic, trigonometric and rational fractional solutions. These solutions are vital for understanding some fundamentally complicated phenomena. The obtained solutions will be very helpful for applications such as fiber optics and plasma physics. Finally, we show how the conformable fractional derivative order affect the exact solutions of the FPCLLM-TDCs. Furthermore, we examine the effects of time-dependent coefficients when these coefficients take on special cases such as random variables, polynomials, and hyperbolic functions.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Farah M. Al-Askar
This work is licensed under a Creative Commons Attribution 4.0 International License.