Uniqueness and Ulam stability for implicit fractional q-difference equations via Picard operators theory

Sa?d Abbas; Mouffak Benchohra; John R. GraefNadjet Laledj

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Uniqueness and Ulam stability for implicit fractional q-difference equations via Picard operators theory

机译：Uniqueness and Ulam stability for implicit fractional q-difference equations via Picard operators theory

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摘要

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 Rus. An illustrative example is given in the last section of the paper.

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来源
《International journal of dynamical systems and differential equations》 |2023年第1期|58-75|共18页
作者
Sa?d Abbas; Mouffak Benchohra; John R. GraefNadjet Laledj;
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作者单位

Department of Electronics, Tahar Moulay University of Sa?da;

Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès;

Department of Mathematics, University of Tennessee at Chattanooga;

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正文语种英语
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fractional q-difference equation; coupled system; implicit; weekly Picard operator; fixed point equation; Ulam-Hyers-Rassias stability; fixed point;

Uniqueness and Ulam stability for implicit fractional q-difference equations via Picard operators theory

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