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A generalized contraction mapping applied in solving modified implicit \(\phi\)-Hilfer pantograph fractional differential equations - MaRDI portal

A generalized contraction mapping applied in solving modified implicit \(\phi\)-Hilfer pantograph fractional differential equations (Q6040577)

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scientific article; zbMATH DE number 7687029
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A generalized contraction mapping applied in solving modified implicit \(\phi\)-Hilfer pantograph fractional differential equations
scientific article; zbMATH DE number 7687029

    Statements

    A generalized contraction mapping applied in solving modified implicit \(\phi\)-Hilfer pantograph fractional differential equations (English)
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    19 May 2023
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    unique fixed point
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    generalised metric spaces
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    \(\alpha\)-\(\psi\)-contraction mappings
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    generalised \((\alpha \cdot \psi)\)-contractive mapping of type I
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    generalised \((\alpha \cdot \psi)\)-contractive mapping of type II
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    \(\phi\)-Riemann-Liouville integral
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    \(\phi\)-Caputo derivative
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    \(\phi\)-Hilfer derivative
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    modified implicit \(\phi\)-Hilfer derivative
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    \(\phi\)-Riemann-Liouville fractional integral of order \(1-\mu\)
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