What question did this study set out to answer?

This research aims to analyze nonlinear differential equations with complex-order ψ-Hilfer derivatives and their solutions.

A qualitative analysis of nonlinear ψ-Hilfer equations with complex fractional order

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Qualitative analysis examines solvability of complex-order nonlinear equations, suggesting extensions of previous findings.

This research aims to analyze nonlinear differential equations with complex-order ψ-Hilfer derivatives and their solutions.
Utilized Banach and Schauder fixed-point theorems to establish existence and uniqueness of solutions.
Discussed the existence of positive solutions through specific cases.
Investigated the Hyers–Ulam (H–U) stability of the solutions.
Conditions for unique solutions are established under complex-order differentiation.
Existence of positive solutions is shown in specific instances.
Demonstrated that small changes in input data do not significantly affect solutions.

Verma et al. (2026) studied this question.

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