TY - JOUR
T1 - A fractional-order framework for investigating groundwater depletion under environmental and human pressures
AU - Hamsavarthini, Gnanasakthivel
AU - Ravichandran, Chokkalingam
AU - Aljuaydi, Fahad
AU - KOTTAKKARAN SOOPPY, NISAR
N1 - Publisher Copyright:
© The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics 2025.
PY - 2025
Y1 - 2025
N2 - A fractional-order model with Caputo derivatives is developed to study the water dynamics with an emphasis on the interactions between atmospheric water, surface water, and groundwater. The model considers significant environmental issues such as pollution, deforestation, and frequent water pumping and assesses their effects on groundwater levels. Conditions for the existence, and boundedness of solutions are also studied. The steady-state solutions of the system are identified, and their stability is used Lyapunov’s direct method to determine boundedness, positivity, and stability of solutions. The study employed numerical models to analyze the effects of human pressure.
AB - A fractional-order model with Caputo derivatives is developed to study the water dynamics with an emphasis on the interactions between atmospheric water, surface water, and groundwater. The model considers significant environmental issues such as pollution, deforestation, and frequent water pumping and assesses their effects on groundwater levels. Conditions for the existence, and boundedness of solutions are also studied. The steady-state solutions of the system are identified, and their stability is used Lyapunov’s direct method to determine boundedness, positivity, and stability of solutions. The study employed numerical models to analyze the effects of human pressure.
KW - Fractional calculus
KW - Lyapunov direct method
KW - Mathematical modelling
KW - Numerical simulation
UR - http://www.scopus.com/inward/record.url?scp=105005113659&partnerID=8YFLogxK
U2 - 10.1007/s12190-025-02514-z
DO - 10.1007/s12190-025-02514-z
M3 - Article
AN - SCOPUS:105005113659
SN - 1598-5865
JO - Journal of Applied Mathematics and Computing
JF - Journal of Applied Mathematics and Computing
ER -
