New integral inequalities and applications to boundary problems
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Date
2025
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Université Badji Mokhtar Annaba
Abstract
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.
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Keywords
time
scales; inequality of gronwall; inequality of pachpatte-gamidov ; inequality of gronwall-bellman; fractional integral inequalitie; practical stability; h-stability; perturbed systems