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math.PR2024
General Airy-type equations, heat-type equations and pseudo-processes
Fabrizio Cinque, Enzo Orsingher
We present a systematic study of higher-order Airy-type differential equations providing the explicit form of the solutions, deriving their power series expansions and a probabilis…
math.PR2024
Higher-order fractional equations and related time-changed pseudo-processes
Fabrizio Cinque, Enzo Orsingher
We study Cauchy problems of fractional differential equations in both space and time variables by expressing the solution in terms of ``stochastic composition" of the solutions to…