On the source problem for the diffusion equations with conformable derivative
Keywords:
Conformable derivative, ill-posed, source function, diffusion equationsAbstract
In this article, we are interested in the problem of finding the source function of the diffusions equations \(\partial_{t}^\alpha - \Delta u = f(x)\) (where \(f\) as the unknown source function and \(\alpha\in (0,1)\)). Furthermore, the fractional derivative \(\alpha\) of \(u\) is defined by the Conformable time derivative. This is an ill-posed problem. So, we use the Reguralized Tikhonov method to construct a regularization solution, and the estimation of convergence is also discussed.References
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