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Differential equations with fractional power of Bessel operator

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FD2W01 - Deterministic and stochastic fractional diļ¬€erential equations and jump processes

We consider the fractional ordinary differential equations and the fractional Euler-Poisson-Darboux equation with the fractional power of the Bessel differential operator. Using the technique of the Meijer integral transform and its modification, fundamental solutions to  these equations are derived in terms of the Fox-Wright function, the Fox H-function, and their particular cases. We also provide some explicit formulas for the solutions to the corresponding initial-value problems in terms of the generalized convolutions introduced in this paper.

This talk is part of the Isaac Newton Institute Seminar Series series.

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