Oxygen-plankton model under the effect of global warming with nonsingular fractional order

Y Sekerci, R Ozarslan - Chaos, Solitons & Fractals, 2020 - Elsevier
In this work, fractional oxygen-plankton-zooplankton mathematical model with climate
change effect is considered by nonsingular fractional operators, Caputo-Fabrizio (CF) and …

Modeling the dynamics of a marine system using the fractional order approach to assess its susceptibility to global warming

RN Premakumari, C Baishya… - Results in Nonlinear …, 2024 - nonlinear-analysis.com
In the marine ecosystem, phytoplankton plays a vital role as the primary supplier of oxygen,
contributing to 50\% of the total oxygen production. Not only does it serve as a significant …

Fractional order oxygen–plankton system under climate change

R Ozarslan, Y Sekerci - Chaos: An Interdisciplinary Journal of …, 2020 - pubs.aip.org
Global climate change affects marine species including phytoplankton, which constitute the
base of the marine food web, by changing the primary productivity. Global warming affects …

Analysis of models describing thermocline depth-ocean temperature and dissolved oxygen concentration in the ocean-plankton community

P Priyadarshini, P Veeresha - Waves in Random and Complex …, 2023 - Taylor & Francis
In the present work, the two mathematical models describing components of the climate are
examined using the numerical method. The first model depicts the relation between the …

[HTML][HTML] Analysis of fractional Duffing oscillator

SC Eze - Revista mexicana de física, 2020 - scielo.org.mx
In this contribution, a simple analytical method (which is an elegant combination of well
known methods; perturbation and Laplace methods) for solving non-linear and non …

Marine system dynamical response to a changing climate in frame of power law, exponential decay, and Mittag‐Leffler kernel

Y Sekerci, R Ozarslan - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
The increase of sea surface temperature in ocean changes the photosynthetic production
rate of phytoplankton. Therefore, it is crucial to understand the relation between temperature …

Fractional calculus of the extended Bessel-Wright function and its applications to fractional kinetic equations

MP Chaudhary, UM Abubakar - Journal of Fractional Calculus …, 2023 - jfca.journals.ekb.eg
In this article, first of all we introduced a new concept for the $(p, q;\vartheta) $-extended
Bessel-Wright function $ J_ {\omega; p, q}^{\sigma;\varsigma,\lambda}(z;\vartheta) $, and …

[PDF][PDF] Fractional kinetic equations involving extended special functions

UM Abubakar - researchgate.net
This paper presents new (𝑝, 𝑞; 𝜗)-extended Bessel-Wright function 𝐽𝜔; 𝑝, 𝑞 𝜎; 𝜍, 𝜆 (𝑧; 𝜗)
and some of its properties pertaining Marichev-Saigo-Maide fractional integral and …