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Some results for a class of delayed fractional partial differential equations with Caputo-Hadamard derivative
Journal article   Open access  Peer reviewed

Some results for a class of delayed fractional partial differential equations with Caputo-Hadamard derivative

Hassen Arfaoui and Abdellatif Ben Makhlouf
Mathematical methods in the applied sciences, Vol.46(9), pp.9954-9965
06/2023
DOI: https://doi.org/10.1002/mma.9096

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study the existence and uniqueness of the global solution to the Fractional Hyperbolic Systems of Partial Differential equations (FHyPDifS) by the Caputo-Hadamard fractional-order derivative. In addition, we give a new sufficient conditions for the finite time stability (FTS) of FHyPDifS for the Caputo-Hadamard fractional-order derivative. Finally, a numerical example is presented to illustrate our theoretical results.
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https://doi.org/10.1002/mma.9096View
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