[PDF][PDF] BEYOND LAPLACE AND FOURIER TRANSFORMS Challenges and Future Prospects.

HE Ji-Huan, N Anjum, HE Chun-Hui… - Thermal …, 2023 - thermalscience.vinca.rs
Laplace and Fourier transforms are widely used independently in engineering for linear
differential equations including fractional differential equations. Here we introduce a …

[HTML][HTML] A new mathematical modeling of the COVID-19 pandemic including the vaccination campaign

M Yavuz, FÖ Coşar, F Günay, FN Özdemir - Open Journal of Modelling …, 2021 - scirp.org
In a short time, many illustrative studies have been conducted on the mathematical modeling
and analysis of COVID-19. There are not enough studies taking into account the vaccine …

A numerical approach to the coupled atmospheric ocean model using a fractional operator

P Veeresha - … Modelling and Numerical Simulation with Applications, 2021 - dergipark.org.tr
In the present framework, the coupled mathematical model of the atmosphere-ocean system
called El Nino-Southern Oscillation (ENSO) is analyzed with the aid Adams-Bashforth …

2D dynamic analysis of the disturbances in the calcium neuronal model and its implications in neurodegenerative disease

H Joshi, BK Jha - Cognitive Neurodynamics, 2023 - Springer
Ca2+ signaling is an essential function of neurons to control synaptic activity, memory
formation, fertilization, proliferation, etc. Protein and voltage-dependent calcium channels …

Extension of the optimal auxiliary function method to solve the system of a fractional-order Whitham–Broer–Kaup equation

Z Alsheekhhussain, K Moaddy, R Shah… - Fractal and …, 2023 - mdpi.com
In this paper, we introduce and implement the optimal auxiliary function method to solve a
system of fractional-order Whitham–Broer–Kaup equations, a class of nonlinear partial …

Improved dynamic adaptive ant colony optimization algorithm to solve pipe routing design

C Liu, L Wu, X Huang, W **ao - Knowledge-Based Systems, 2022 - Elsevier
With the purpose of finding a satisfactory pipe path between the starting point and target
point, pipe routing design (PRD) has been applied in many industry fields. The research of …

Power law kernel analysis of MHD Maxwell fluid with ramped boundary conditions: Transport phenomena solutions based on special functions

MB Riaz, AU Rehman, J Awrejcewicz, A Akgül - Fractal and Fractional, 2021 - mdpi.com
In this paper, a new approach to find exact solutions is carried out for a generalized
unsteady magnetohydrodynamic transport of a rate-type fluid near an unbounded upright …

A comparative analysis of plasma dilution based on fractional integro-differential equation: an application to biological science

KA Abro, A Atangana… - International Journal of …, 2023 - Taylor & Francis
Plasma dilution is an important factor of a human proteome specifically from hemostatic
balance to coagulation process. This manuscript presents a mathematical analysis of integro …

On a reaction–diffusion model for calcium dynamics in neurons with Mittag–Leffler memory

H Joshi, BK Jha - The European Physical Journal Plus, 2021 - Springer
In recent times, the Atangana–Baleanu–Caputo (ABC) derivative is one of the robust
fractional operators to solve complex dynamical problems due to its nonlocal and non …

The prediction of spark-ignition engine performance and emissions based on the SVR algorithm

Y Zhang, Q Wang, X Chen, Y Yan, R Yang, Z Liu, J Fu - Processes, 2022 - mdpi.com
Engine development needs to reduce costs and time. As the current main development
methods, 1D simulation has the limitations of low accuracy, and 3D simulation is a long, time …