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\(\mathcal{L}\)-simulation functions over \(b\)-metric-like spaces and fractional hybrid differential equations - MaRDI portal

\(\mathcal{L}\)-simulation functions over \(b\)-metric-like spaces and fractional hybrid differential equations (Q2220513)

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\(\mathcal{L}\)-simulation functions over \(b\)-metric-like spaces and fractional hybrid differential equations
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    \(\mathcal{L}\)-simulation functions over \(b\)-metric-like spaces and fractional hybrid differential equations (English)
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    25 January 2021
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    Summary: In this paper, we establish some fixed point results for \(\alpha_{q s^p}\)-admissible mappings embedded in \(\mathcal{L}\)-simulation functions in the context of \(b\)-metric-like spaces. As an application, we discuss the existence of a unique solution for fractional hybrid differential equation with multipoint boundary conditions via Caputo fractional derivative of order \(1<\alpha\leq 2\). Some examples and corollaries are also considered to illustrate the obtained results.
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    fixed points
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    \(\alpha_{q s^p}\)-admissible mappings
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    \(\mathcal{L}\)-simulation functions
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    \(b\)-metric-like spaces
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