A new approach for the generalized fractional Casson fluid model with Newtonian heating described by the modified Riemann–Liouville fractional operator

DOI10.1002/mma.8004zbMath1529.35407OpenAlexW4226404078MaRDI QIDQ6139731

Unnamed Author, Bheeman Radhakrishnan

Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8004

zbMATH Keywords

fractional heat equationgeneralized fractional derivativeNewtonian heatingintegral balance methodCasson fluid modelmodified fractional derivative

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Heat equation (35K05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Laplace transform (44A10) Reaction effects in flows (76V05) Fractional partial differential equations (35R11)

Cites Work

• Stock exchange fractional dynamics defined as fractional exponential growth driven by (usual) Gaussian white noise. Application to fractional Black-Scholes equations
• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
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• Natural convection flow of a fluid using Atangana and Baleanu fractional model
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• On the representation of fractional Brownian motion as an integral with respect to \((dt)^a\)
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