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Title
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Existence and Mittag-Leffler-Ulam-Stability Results for Duffing Type Problem Involving Sequential Fractional Derivatives
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Type
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JournalPaper
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Keywords
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Fractional derivative · Duffing equation · Mittag-Leffler-Ulam stability · Fixed point
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Abstract
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In this current manuscript, we discuss the existence, uniqueness and Mittag-Leffler-Ulam stability of solutions for fractional Duffing problem involving two Caputo and RiemannLiouville fractional derivatives. Uniqueness result for solution of the underlying Duffing problem is presented with the aid of Banach’s fixed point theorem, while the existence result is derived from Leray-Schauder’s alternative. Also the Mittag-Leffler-Ulam stability outcomes are obtained by using generalized singular Gronwall’s inequality. An illustrative example is also included.
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Researchers
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Mohamed Houas (First Researcher), Mohammad Esmael Samei (Second Researcher)
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