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Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay
Hassen Arfaoui1,2, Abdellatif Ben Makhlouf1,3
1Department of Mathematics, College of Science, Jouf University, Sakaka, Saudi Arabia.
Abstract:
This work deals with the existence and uniqueness of global solution and finite time stability of fractional partial hyperbolic differential systems (FPHDSs). Using the fixed-point approach, the existence and uniqueness of global solution is studied and an estimation of solution is given. Moreover, some sufficient conditions for the finite time stability of FPHDSs are established. Numerical experiments illustrate the Stability result.
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