This work demonstrates the existence and uniqueness of mild solutions in conformable fractional differential equations, suggesting implications for mathematical modeling.
In this work, we generalize the notion of the conformable derivative. Then, we present the new definition of conformable strongly continuous semigroup and its infinitesimal generator. Further, we study the existence and uniqueness of the mild solution for a conformable differential equation with our generalized conformable C⁰ -semigroup. Finally, we investigate the continuous dependence between initial data and mild solutions.
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El Hassan El Jaoui (2025) studied this question.
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