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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 1

Ulam-Hyers-Stability for nonlinear fractional neutral differential equations

Azmat Ullah Khan Niazi
Jiang Wei
Mujeeb Ur Rehman
Du Jun
Pages
—
Publication Date
2019-02-01
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

An example is also given to show the applicability of our results.

📌 3 Key Takeaways

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Objective & Hypothesis:We discuss Ulam-Hyers stability, Ulam-Hyers-Rassias stability and Generalized Ulam-Hyers-Rassias stability for a class of nonlinear fractional functional differential equations with delay involving Caputo fractional derivative by using Picard operator.
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Key Findings & Data:We discuss Ulam-Hyers stability, Ulam-Hyers-Rassias stability and Generalized Ulam-Hyers-Rassias stability for a class of nonlinear fractional functional differential equations with delay involving Caputo fractional derivative by using Picard operator.
💡
Conclusion & Impact:An example is also given to show the applicability of our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:fractional functional differential equation · Ulam-Hyers stability · Ulam-Hyers-Rassias stability

Abstract

We discuss Ulam-Hyers stability, Ulam-Hyers-Rassias stability and Generalized Ulam-Hyers-Rassias stability for a class of nonlinear fractional functional differential equations with delay involving Caputo fractional derivative by using Picard operator. An example is also given to show the applicability of our results.

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Cite This Article

Niazi, A. U. K., Wei, J., Rehman, M. U., Jun, D. (2019). Ulam-Hyers-Stability for nonlinear fractional neutral differential equations. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 1. https://doi.org/10.15672/hujms.524435

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