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January 1, 2026International Journal of Dynamical Systems and Differential Equations

EXISTENCE, UNIQUENESS, AND HYERS-ULAM STABILITY FOR AN IMPLICIT HYBRID FRACTIONAL DIFFERENTIAL EQUATION WITH p-LAPLACIAN OPERATOR

Darshana Devi Jayanta Borah Haydar Akça

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Key Points

This research focuses on proving the existence and uniqueness of solutions for a specific type of fractional differential equation. It also investigates the stability of these solutions under certain conditions.
Analyzed the implicit hybrid fractional differential equation using p-Laplacian operator techniques.
Developed theoretical proofs to establish existence and uniqueness.
Investigated Hyers-Ulam stability for the derived solutions.
Demonstrated that solutions exist and are unique for given parameters.
Showed conditions under which Hyers-Ulam stability is maintained in solutions.

Implication

Demonstrates stability in implicit hybrid fractional differential equations, suggesting theoretical advancements.

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Cite This Study

Devi et al. (2026) studied this question.

synapsesocial.com/papers/6a2e4608b1cc60ccdea8aeab https://doi.org/10.1504/ijdsde.2026.10079132

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Keep reading

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Qualitative Analysis for Nonlinear Fractional Differential Equations With <i>p</i> ‐Laplacian OperatorOriginal Research · 2026 · 1 citations
2Existence, Uniqueness and Ulam-Hyers Stability for a Coupled System of Sequential Hilfer Fractional Differential Equations with Nonlocal Coupled Boundary ConditionsOriginal Research · 2026
3Existence and Uniqueness of Solutions for Singular Fractional Integro-Differential Equations with p-Laplacian and Two Kinds of Fractional Derivatives2025 · 1 citations
4Existence, Uniqueness, and Matrix-Based Stability of Coupled Hybrid Fractional Systems Involving a Generalized Hilfer OperatorOriginal Research · 2026
5A Coupled Singular Fractional Integro-Differential System with Bessel Operator: Existence, Uniqueness, and StabilityOriginal Research · 2026

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