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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 ...
Hassen Arfaoui
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Blowup for semilinear fractional diffusion system with Caputo–Hadamard derivative
Mathematical Methods in the Applied Sciences, 2022The main aim of this paper is to study the blowing‐up behavior of the solution for semilinear fractional diffusion system with the Caputo–Hadamard derivative and the fractional Laplacian. We construct a mild solution of the semilinear system by using the fundamental solutions and then prove the local existence and uniqueness of the mild solution by ...
Jinping Yang, Zhiqiang Li
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