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Title
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Solvability and stability for a fractional quantum jerk type problem including Riemann–Liouville-Caputo fractional 𝑞−derivatives
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Type
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JournalPaper
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Keywords
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Fractional 𝑞−difference equations; Fractional jerk equation; Existence Nonlinear analysis; Ulam–Hyers stability
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Abstract
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This manuscript studies the existence and Ulam–Hyers stability results of solutions of 𝑞−fractional jerk type problem. The uniqueness of solutions is established by means of Banach’s contraction mapping principle, while the existence of solutions is derived from Leray–Schauder’s alternative. Also the stability in the sense of Ulam– Hyers stability is defined and studied. In conclusion, we display an case to appear the pertinence of the most comes about.
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Researchers
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shahram Rezapour (Third Researcher), Mohammad Esmael Samei (Second Researcher), Mohamed Houas (First Researcher)
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