Uniqueness and Ulam stability for implicit fractional \(q\)-difference equations via Picard operators theory (Q2700178)
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scientific article
| Language | Label | Description | Also known as |
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| English | Uniqueness and Ulam stability for implicit fractional \(q\)-difference equations via Picard operators theory |
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Uniqueness and Ulam stability for implicit fractional \(q\)-difference equations via Picard operators theory (English)
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20 April 2023
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Summary: The authors are concerned with the uniqueness of solutions and Ulam type stability results for implicit Caputo fractional \(q\)-difference equations. Coupled systems of implicit fractional \(q\)-difference equations are also considered. Their results are obtained by using the Picard operator theory due to \textit{I. A. Rus} [Semin. Fixed Point Theory Cluj-Napoca 2, 41--58 (2001; Zbl 1035.47044); Fixed Point Theory 10, No. 2, 305--320 (2009; Zbl 1204.47071)]. An illustrative example is given in the last section of the paper.
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fractional \(q\)-difference equation
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coupled system
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implicit
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weekly Picard operator
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fixed point equation
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Ulam-Hyers-Rassias stability
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fixed point
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