Abuelela, WaleedBaleanu, DumitruEl-Deeb, Ahmed A.Baleanu, Dumitru2024-04-302024-04-302022Abuelela, Waleed; El-Deeb, Ahmed A.; Baleanu, Dumitru. (2022). "On Some Generalizations of Integral Inequalities in n Independent Variables and Their Applications", Symmetry, Vol.14, No.11.2073-8994https://doi.org/10.3390/sym14112257Eldeeb, Ahmed/0000-0003-2822-4092Throughout this article, generalizations of some Gronwall-Bellman integral inequalities for two real-valued unknown functions in n independent variables are introduced. We are looking at some novel explicit bounds of a particular class of Young and Pachpatte integral inequalities. The results in this paper can be utilized as a useful way to investigate the uniqueness, boundedness, continuousness, dependence and stability of nonlinear hyperbolic partial integro-differential equations. To highlight our research advantages, several implementations of these findings will be presented. Young's method, which depends on a Riemann method, will follow to prove the key results. Symmetry plays an essential role in determining the correct methods for solving dynamic inequalities.eninfo:eu-repo/semantics/openAccessIntegral InequalitiesHyperbolic Partial Differential EquationYoung'S TechniqueArticle141110.3390/sym141122572-s2.0-85149584831WOS:000895088100001Q2Q2