Results on Existence and Uniqueness of solutions of Fractional Differential Equations of Caputo-Fabrizio type in the sense of Riemann-Liouville

The Riemann-Liouville notion of the Caputo-Fabrizio fractional differential equation is examined in this paper. The fundamental structure of the fractional calculus is shown. The Laplace transform of the derivative and its related integral are discovered. The extension of the findings to established the existence and uniqueness of the Caputo-Fabrizio fractional differential equation of order α ∈ (4, 5) is examined using the principle of Banach contraction mapping. Examples are employed in order to demonstrate the idea. © (2024), (International Association of Engineers). All rights reserved.