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Ulam-Hyers-Stability for nonlinear fractional neutral differential equations

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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… Click to show full 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.

Keywords: stability nonlinear; nonlinear fractional; hyers stability; differential equations; fractional neutral; ulam hyers

Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2019

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