WELL-POSEDNESS ANALYSIS VIA GENERALIZED FRACTIONAL DERIVATIVES
Keywords:
Ψ−Caputo derivative, well-posedness, existence and uniqueness, continuation theorem.Abstract
In this manuscript, we investigate the existence and uniqueness of solutions for nonlinear initial value problems of fractional differential equations within the framework of -Caputo sense. We utilize two fixed point theorems: the Schauder fixed point theorem (SFPT) and the Banach fixed point theorem (BFPT). Furthermore, we establish the notion of continuation. To validate the credibility of our key findings, we provide an illustrative example.
References
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