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An Initial-Boundary Problem for a Mixed Fractional Wave Equation |
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PP: 613-621 |
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doi:10.18576/pfda/110312
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Author(s) |
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Nasser Al-Salti,
Erkinjon Karimov,
Muna Al-Ghabshi,
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Abstract |
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| We aim to prove a unique solvability of an initial-boundary value problem (IBVP) for a time-fractional wave equation in a rectangular domain. We exploit the spectral expansion method as the main tool and used the solution to Cauchy problems for fractional- order differential equations. Moreover, we apply certain properties of the Mittag-Leffler-type functions of single and two variables to prove the uniform convergence of the solution to the considered problem, represented in the form of infinite series.
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