Analysis of advective–diffusive transport phenomena modelled via non-singular Mittag-Leffler kernel

DOI10.1051/MMNP/2019011zbMath1419.35199OpenAlexW2931049482MaRDI QIDQ5229649

Derya Avcı, Aylin Yetim

Publication date: 16 August 2019

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2019011

zbMATH Keywords

Fourier transformfundamental solutionadvection-diffusion equationMittag-LefflerAtangana-Baleanu derivative

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Ecology (92D40) Fractional partial differential equations (35R11) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Dirichlet problem for the time-fractional advection-diffusion equation in a line segment
• Generalized boundary conditions for the time-fractional advection diffusion equation
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• Controlling the wave movement on the surface of shallow water with the Caputo-Fabrizio derivative with fractional order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Time fractional advection-dispersion equation
• Fractional derivatives in the transport of drugs across biological materials and human skin
• A new fractional model for giving up smoking dynamics
• A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
• Fundamental solutions to advection-diffusion equation with time-fractional Caputo-Fabrizio derivative
• Fundamental solution to the Cauchy problem for the time-fractional advection-diffusion equation
• Fractional thermoelasticity
• Triple pendulum model involving fractional derivatives with different kernels
• Applications of fractional derivatives to nanofluids: exact and numerical solutions
• New numerical approach for fractional differential equations
• Reconstruction of the Robin boundary condition and order of derivative in time fractional heat conduction equation
• Fourth-order fractional diffusion model of thermal grooving: integral approach to approximate closed form solution of the Mullins model
• The time fractional diffusion equation and the advection-dispersion equation
• Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

This page was built for publication: Analysis of advective–diffusive transport phenomena modelled via non-singular Mittag-Leffler kernel