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Stochastic fractional generalizations in optimal control

by Zine Houssine

Institution: Universidade de Aveiro
Department:
Degree:
Year: 2022
Keywords: Stochastic fractional integration by parts formula; Stochastic fractional Euler- Lagrange equation; Stochastic time delayed COVID-19 model; Optimal control; Reaction-diffusion; Necessary and sufficient optimality conditions; Extended Taylor's theorem
Posted: 3/25/2025
Record ID: 2255667
Full text PDF: http://hdl.handle.net/10773/34382


Abstract

Two mathematical tendencies are targeted in this doctoral thesis, the first is related to the establishment of certain theoretical results within the theory of the calculus of variations, on one hand, a stochastic fractional integration by parts formula and a stochastic fractional Euler-Lagrange equation are obtained, on the other hand, weighted generalized fractional Taylor's theorem and Euler Lagrange equation with non-singular kernel sense are studied. The second trend was aimed at enriching the literature with several mathematical applications in different fields, with the idea of providing various appropriate solutions to complex social problems, namely those constructed with the outbreak of the COVID-19 pandemic, in addition, the description of some adequate solutions in both bio-mathematics and bio-economics.

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