Solutions with wright functions for time fractional convection flow near a heated vertical plate

DOI10.1186/s13662-016-0775-9zbMath1419.80011OpenAlexW2277178220WikidataQ59480151 ScholiaQ59480151MaRDI QIDQ1796478

Dumitru Vieru, Hamid Khan, Abdul Shakeel, Sohail Ahmad

Publication date: 17 October 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-016-0775-9

zbMATH Keywords

viscous fluidunsteady free convection flowtime-fractional derivatives

Mathematics Subject Classification ID

Related Items (4)

Generalization of the convective flow of Brinkman-type fluid using Fourier's and Fick's laws: exact solutions and entropy generation ⋮ The Lorenzo-Hartley's function for fractional calculus and its applications pertaining to fractional order modelling of anomalous relaxation in dielectrics ⋮ Unnamed Item ⋮ On some computable solutions of unified families of fractional differential equations

Uses Software

• Algorithm 368

Cites Work

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• The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey
• A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
• A note on the similarity solutions for free convection on a vertical plate
• A class of exact solutions of the unsteady magnetohydrodynamic free- convection flows
• Transient free convection on an isothermal vertical flat plate
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The Wright functions as solutions of the time-fractional diffusion equation.
• Fundamental solutions to time-fractional advection diffusion equation in a case of two space variables
• Cauchy problem for fractional diffusion equations
• Numerical solution for Stokes' first problem for a heated generalized second-grade fluid with fractional derivative
• Exact solutions for the unsteady free convection flows on a porous plate with time-dependent heating
• Unsteady magnetohydrodynamic free convection flow past an accelerated vertical plate with constant heat flux and heat generation or absorption

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