A general fractional pollution model for lakes

DOI10.1007/s42967-021-00135-4OpenAlexW3197495085MaRDI QIDQ2163481

Babak Shiri, Dumitru Baleanu

Publication date: 10 August 2022

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42967-021-00135-4

zbMATH Keywords

system of ordinary differential equationsregularity of the solutionsystem of fractional differential equationsexplicit and implicit methodsamount of pollution in lakes

Mathematics Subject Classification ID

Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Volterra integral equations (45D05) Functional-differential equations with fractional derivatives (34K37)

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Cites Work

• Unnamed Item
• Unnamed Item
• FARIMA with stable innovations model of Great Salt Lake elevation time series
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Validation of a fractional model for erythrocyte sedimentation rate
• A collocation approach to solving the model of pollution for a system of lakes
• Some new mathematical models of the fractional-order system of human immune against IAV infection
• Visco-elastic dampers in structural buildings and numerical solution with spline collocation methods
• Modeling and analysis of the polluted lakes system with various fractional approaches
• Chaos in a three-cell population cancer model with variable-order fractional derivative with power, exponential and Mittag-Leffler memories
• Spline collocation methods for systems of fuzzy fractional differential equations
• Generalized fractional controller for singular systems of differential equations
• Collocation methods for terminal value problems of tempered fractional differential equations
• A new fractional analysis on the polluted lakes system
• Caputo and related fractional derivatives in singular systems
• Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions
• Solving Ordinary Differential Equations I
• Fractional Hamiltonian analysis of higher order derivatives systems
• Theoretical Numerical Analysis
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Fractional differentiation matrices with applications
• Numerical Methods for Ordinary Differential Equations

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