A note on fractional Duhamel's principle and its application to a class of fractional partial differential equations

DOI10.1016/j.aml.2016.08.002zbMath1349.35407OpenAlexW2510463075MaRDI QIDQ338943

Arjumand Seemab, Mujeeb Ur Rehman

Publication date: 7 November 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.08.002

zbMATH Keywords

fractional differential equationsDuhamel principleCaputo derivativeMittag Leffler function

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (6)

Stability and boundedness of solutions of the initial value problem for a class of time-fractional diffusion equations ⋮ Modes and modal analysis of three-dimensional (3D) structures based on the smoothed finite element methods (S-FEMs) using automatically generatable tetrahedral meshes ⋮ Stability analysis of time‐fractional differential equations with initial data ⋮ A numerical method for solving boundary value problems for fractional differential equations ⋮ On oscillatory and nonoscillatory behavior of solutions for a class of fractionalorder differential equations ⋮ Existence and stability of solutions for a class of stochastic fractional partial differential equation with a noise

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