konuralp j. math. Konuralp Journal of Mathematics 2147-625X Mehmet Zeki SARIKAYA Dynamical Systems in Applications Uygulamalarda Dinamik Sistemler Applications of Integral Inequalities to Fractional Differential and Integral Equations Raber Dalila Blida 1 https://orcid.org/0000-0003-4659-0723 Dahmani Zoubir University of Blida 1 https://orcid.org/0000-0002-6165-9242 Sarikaya Mehmet Zeki DUZCE UNIVERSITY 04 30 2026 14 1 120 134 12 13 2025 04 01 2026 Copyright © 2013, Konuralp Journal of Mathematics 2013 Konuralp Journal of Mathematics

In this paper, we propose new applications of recently established integral inequalities to the study of fractional differential and integral equations. These inequalities provide useful tools for studying the existence, uniqueness, and Ulam-Hyers 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 integral inequalities in the analytic and qualitative analysis of differential problems.

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