Raber, DalilaDahmani, ZoubirSarıkaya, Mehmet Zeki2026-07-012026-07-0120262147-625Xhttps://hdl.handle.net/20.500.12684/23141In this paper, we propose new applications of recently established fractional integral inequalities to the study of fractional differential and fractional integral equations. These inequalities provide useful tools for studying the existence, uniqueness, and stability of solutions. We demonstrate how these results can be applied to various classes of integral and differential equations of fractional order, illustrating their effectiveness in establishing key properties of solutions. Our approach shows the significance of fractional integral inequalities in the analytic and qualitative analysis of fractional differential and integral problems. © 2026, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.eninfo:eu-repo/semantics/closedAccessExistence and uniquenessfractional differential equationfractional integral inequalityintegral equationsstability of solutionsArticle1411201342-s2.0-105039929510Q31841272