The Cadariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations

Using the Cadariu-Radu method derived from the Diaz-Margolis theorem, we study the existence, uniqueness and Gauss hypergeometric stability of Omega-Hilfer fractional differential equations defined on compact domains. Next, we show the main results for unbounded domains. To illustrate the main result for a fractional system, we present an example.

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By applying the Cadariu-Radu method derived from the Diaz-Margolis theorem, the study explores the existence, uniqueness, and Gauss hypergeometric stability of Omega-Hilfer fractional differential equations on both compact and unbounded domains. The main results for unbounded domains are then presented, along with an example to illustrate the main result for a fractional system.