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On the solution of the Cauchy problem for a higher-order equation with the fractional Riemann-Liouville derivative

B. Yu. Irgashev3 Institute of Mathematics, Academy of Science, 9, University str, 100174, Tashkent, Uzbekistan
Quaestiones Mathematicaejournal2024en

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AbstractIn this article, a representation of the solution of the Cauchy problem for an equation of high even order with a fractional derivative in the Riemann-Liouville sense of order greater than one is obtained. The uniqueness of the solution is proved.Mathematics Subject Classification (2020): 35G1035C0633N20Key words: Higher order equationfractional Riemann-Liouville derivativeWright functionCauchy problemsolution representation

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