Ulam-Hyers-Stability for nonlinear fractional neutral diﬀerential equations

Objective & Hypothesis:We discuss Ulam-Hyers stability, Ulam-Hyers-Rassias stability and Generalized UlamHyers-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 UlamHyers-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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Conclusion & Impact:An example is also given to show the applicability of our results.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:Domain Parameters

Abstract

We discuss Ulam-Hyers stability, Ulam-Hyers-Rassias stability and Generalized UlamHyers-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

NİAZİ, A. U. K., WEİ, J., REHMAN, M. U., JUN, D. (2022). Ulam-Hyers-Stability for nonlinear fractional neutral diﬀerential equations. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 1, 157–169. https://ajindex.com/articles/529731

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