Existence and Uniqueness Results for Mixed Type Fractional Iterative Differential Equations with Deviating Argument

This research paper investigates the solutions for mixed type fractional iterative differential equations with deviating argument subject to boundary conditions. To prove the existence and uniqueness of solutions we employ the Krasnoselskii’s and Banach fixed point theorem. Also, Ulam–Hyers and Ulam–Hyers–Rassias stability were examined to analyze the solutions. An illustrative example is provided to demonstrate the applicability of the main theoretical results.

کلیدواژه ها:

fractional differential equations ، Mixed Fractional Derivative ، Integral boundary conditions ، Iterative