Nonlocal Telegraph Equation in Frame of the Conformable Time‐Fractional Derivative

Mohamed Bouaouid, Khalid Hilal and Said Melliani

Advances in Mathematical Physics, 2019, vol. 2019, issue 1

Abstract: We use the cosine family of linear operators to prove the existence, uniqueness, and stability of the integral solution of a nonlocal telegraph equation in frame of the conformable time‐fractional derivative. Moreover, we give its implicit fundamental solution in terms of the classical trigonometric functions.

Date: 2019
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https://doi.org/10.1155/2019/7528937

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:7528937

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