What question did this study set out to answer?

To establish the existence and stability of solutions for semilinear differential equations using specific mathematical tools.

Existence and Stability of Solutions to Differential Equations via the Deformable Derivative and Laplace Transform

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To establish the existence and stability of solutions for semilinear differential equations using specific mathematical tools.
Utilized Banach’s contraction principle
Applied the Laplace transform
Incorporated the Gronwall inequality
New findings in the context of fractional differential equations
Demonstrated that solutions exist under defined conditions
Stability of these solutions was confirmed

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This note demonstrates stability of abstract semilinear differential equations, indicating new results for fractional equations.

Etefa et al. (2025) studied this question.

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