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

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

Bouaouid, Mohamed;Hilal, Khalid;Melliani, Said;Bouaouid, Mohamed;Hilal, Khalid;Melliani, Said;
advances in mathematical physics 2019 Vol. 2019
203
mohamed2019nonlocaladvances

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.

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