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What is Generalized Mean Square Stochastic Operators about?

This paper introduces new generalized mean square fractional integral and derivative operators for second-order stochastic processes, utilizing the Riemann-Liouville approach. The authors investigate properties such as linearity and continuity, proving that these operators form Banach spaces and exist in a probabilistic sense. Additionally, the results are applied to establish a generalized fractional stochastic version of the Hermite-Hadamard inequality for convex stochastic processes.

Author
drtahirllc
Language
EN

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