Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels

DOI10.1186/s13662-021-03658-5zbMath1494.76113OpenAlexW3217285638MaRDI QIDQ2167283

Muhammad Bilal Riaz, Muhammad Abbas, Fatima Javed, Abdullah M. Alsharif, Y. S. Hamed, Nazish Iftikhar

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03658-5

zbMATH Keywords

MHDLaplace transformMaxwell fluidNewtonian heatingfractional-order derivatives

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Magnetohydrodynamics and electrohydrodynamics (76W05) Fractional partial differential equations (35R11)

Cites Work

• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A new fractional operator of variable order: application in the description of anomalous diffusion
• A comparative study of heat transfer analysis of MHD Maxwell fluid in view of local and nonlocal differential operators
• A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions
• Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate
• Review of methods and approaches for mechanical problem solutions based on fractional calculus

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