The Cauchy problem for the Helmholtz equation has emerged as an important yet challenging subject in applied mathematics and engineering. This problem involves deducing interior solutions from ...
Cauchy problems and inverse problems in partial differential equations (PDEs) represent a class of challenging mathematical models where one seeks to determine unknown data inside a domain from ...
Proceedings of the American Mathematical Society, Vol. 142, No. 5 (MAY 2014), pp. 1717-1731 (15 pages) Fractional derivatives can be used to model time delays in a diffusion process. When the order of ...
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