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Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator - MaRDI portal

Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator (Q6062990)

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scientific article; zbMATH DE number 7773296
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Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator
scientific article; zbMATH DE number 7773296

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    Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator (English)
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    2 December 2023
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    In this paper, the authors consider a nonlinear fractional \(p\)-Laplacian boundary value problem containing both left Riemann-Liouville and right Caputo fractional derivatives with initial and integral conditions. They apply certain fixed point theorems to investigate the existence and uniqueness of solution for the nonlinear mixed-type fractional differential equations. They also show the Ulam stability of solutions. Finally, two examples are given to show the applicability of our results
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    Hyers-Ulam
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    existence
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    uniqueness
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