In this paper, we consider an inverse source problem for a fractional pseudo-parabolic equation. We show that the problem is severely ill-posed (in the sense of Hadamard) and the Tikhonov regularization method is proposed to solve the problem. In addition, we present numerical examples to illustrate applicability and accuracy of the proposed method to some extent.

中文翻译：

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具有Caputo导数的伪抛物方程的反源问题

在本文中，我们考虑分数阶伪抛物方程的逆源问题。我们证明了该问题的严重不适性（就Hadamard而言），并提出了Tikhonov正则化方法来解决该问题。另外，我们在数值例子上在一定程度上说明了该方法的适用性和准确性。