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On fractional order hybrid differential equations - MaRDI portal

On fractional order hybrid differential equations (Q1723999)

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scientific article; zbMATH DE number 7022286
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On fractional order hybrid differential equations
scientific article; zbMATH DE number 7022286

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    On fractional order hybrid differential equations (English)
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    14 February 2019
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    Summary: We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order \(0 < \alpha < 1\). Using some fixed point theorems we prove the existence of mild solutions for two types of hybrid equations. Examples are given to illustrate the obtained results.
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