Applications of Integral Inequalities to Fractional Differential and Integral Equations

Abstract

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.

Keywords

• Fractional integral inequality
• Fractional differential equations
• existence and uniqueness
• stability of solutions

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