Browsing by Author "SAID, Fatma"

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    New integral inequalities and applications to boundary problems
    (Université Badji Mokhtar Annaba, 2025) SAID, Fatma
    It is well known that the theory of integral inequalities plays acrucial role in the qualitative and quantitative analysis of the behavior of solutions to nonlinear differential equations. The objective of this thesis is to establish fractional integral inequalities and other inequalities of the Pachpatte-Gamidov type on time scales. Finally,we have used certain integral inequalities to study the practical stability and h-stability of some perturbed nonlinear dynamical systems on arbitrary time scales.