On the character of operational solutions of the time-fractional diffusion equation

DOI10.1016/j.na.2009.10.037zbMath1196.26014OpenAlexW2043999451MaRDI QIDQ844973

Djurdjica Takači, Arpad Takači, Mirjana Strboja

Publication date: 5 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.10.037

zbMATH Keywords

diffusion equationoperational calculusMikusinski operatorsFrational calculus

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Calculus of Mikusi?ski and other operational calculi (44A40) Numerical solutions to equations with linear operators (65J10) Classical operational calculus (44A45)

Related Items (3)

Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation ⋮ Compact Crank–Nicolson and Du Fort–Frankel Method for the Solution of the Time Fractional Diffusion Equation ⋮ Exact solution of two-term time-fractional Thornley's problem by operational method

Cites Work

• On the approximate solution of a mathematical model of a viscoelastic bar
• Variational iteration method for fractional heat- and wave-like equations
• The Wright functions as solutions of the time-fractional diffusion equation.
• The character of operational successive approximations
• The fundamental solution of the space-time fractional diffusion equation
• On the mathematical model of a viscoelastic bar
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