Solution to time fractional partial differential equations via joint Laplace-Fourier transforms

DOI10.1080/09720502.2012.10700792zbMath1268.26007OpenAlexW2071278358MaRDI QIDQ4922205

Arman Aghili, Mohammad Rasool Masomi

Publication date: 29 May 2013

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720502.2012.10700792

zbMATH Keywords

Fourier transformLaplace transformCaputo fractional derivativenon-homogeneous time fractional wave equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)

Related Items (1)

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Cites Work

• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Laplace transform pairs of \(n\)-dimensions and heat conduction problem
• The fractional diffusion equation
• On a system of differential equations with fractional derivatives arising in rod theory
• Dynamics of a Viscoelastic Rod of Fractional Derivative Type
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