Nonhomogeneous initial and boundary value problem for the Caputo-type fractional wave equation
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Springeropen
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info:eu-repo/semantics/openAccess
Abstract
In this paper, we give an analytical solution of a fractional wave equation for a vibrating string with Caputo time fractional derivatives. We obtain the exact solution in terms of three parameter Mittag-Leffler function. Furthermore, some examples of the main result are exhibited.
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Keywords
Fractional wave equation, Caputo time fractional derivative, Mittag-Leffler function, Laplace transform
Journal or Series
Advances in Difference Equations
