Work

Implicit Fractional Differential Equation with Time-Varying State-Dependent Feedback

Year: 2026

Type: article

Abstract: The present article introduces and investigates a class of implicit fractional differential equations with time-varying state-dependent feedback, a setting that significantly extends existing fractional delay models. Existence and uniqueness results are established via the Banach fixed-point theorem, while sharp exponential growth estimates for the solutions are derived using a generalized Gronwall-type inequality. These results provide new analytical insights into the qualitative behavior of fractional systems with dynamically evolving feedback mechanisms.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract10080503

Authors: McSylvester Ejighikeme Omaba, Hassan Ayed Almutairi

Institution: University of Hafr Al-Batin

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

OpenAlex ID: W7170791623

FWCI:

Cites: 12

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