New Solutions to the Fractional Perturbed Chen Lee Liu Model with Time-Dependent Coefficients: Applications to Complex Phenomena in Optical Fibers

Authors

  • Farah M. Al-Askar Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia https://orcid.org/0009-0005-3171-3390

DOI:

https://doi.org/10.37256/cm.5420245181

Keywords:

conformable fractional derivative, mapping method, Chen Lee Liu model, time-dependent coefficients

Abstract

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.

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Published

2024-10-31

How to Cite

1.
Al-Askar FM. New Solutions to the Fractional Perturbed Chen Lee Liu Model with Time-Dependent Coefficients: Applications to Complex Phenomena in Optical Fibers. Contemp. Math. [Internet]. 2024 Oct. 31 [cited 2024 Nov. 21];5(4):4697-711. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5181

Issue

Section

Special Issue: Contemporary Developments of Fractals in Mathematical Modelling and Nonlinear Dynamical Systems