Obtaining a representation of the solution of the Cauchy problem for one equation with a fractional derivative and applying it to the equation of forced beam vibrations

DOI10.1002/MMA.8948zbMath1530.35344MaRDI QIDQ6140709

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Publication date: 2 January 2024

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

zbMATH Keywords

existenceuniquenessHilfer's fractional derivativehigh-order equationproblem with initial conditions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Integral representations of solutions to PDEs (35C15) Series solutions to PDEs (35C10) Fractional partial differential equations (35R11) Self-similar solutions to PDEs (35C06)

Cites Work

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• A Cauchy-type problem for the diffusion-wave equation with Riemann-Liouville partial derivative
• Cauchy problem for high even order parabolic equation with time fractional derivative
• The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative
• Existence conditions for a classical solution of the Cauchy problem for the diffusion-wave equation with a partial Caputo derivative
• Cauchy problem for the beam vibration equation
• Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
• The fundamental solution of a diffusion-wave equation of fractional order
• THE GENERALIZED BESSEL FUNCTION OF ORDER GREATER THAN ONE

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