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Ulam–Hyers–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations

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In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations. We use the Picard operator method… Click to show full abstract

In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations. We use the Picard operator method and a generalized Gronwall inequality involved in a ψ-Riemann–Liouville fractional integral. Finally, we give two examples to illustrate our main theorems.

Keywords: hyers mittag; mittag leffler; ulam hyers; leffler stability; fractional order; hilfer fractional

Journal Title: Advances in Difference Equations
Year Published: 2019

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