Abstract
Using integral representations of Poisson type, it is established in the paper that the Cauchy problem for a number of abstract higher order singular equations, including those with fractional derivatives, are reduced to simpler problems for nonsingular equations.
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Glushak, A.V. On the Solvability of Initial Problems for an Abstract Generalized Euler–Poisson–Darboux Equation of Higher Order. Lobachevskii J Math 43, 1313–1325 (2022). https://doi.org/10.1134/S1995080222090098
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DOI: https://doi.org/10.1134/S1995080222090098