Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional <i>q</i>-derivatives
نویسندگان
چکیده
Abstract In the current manuscript, we combine q -fractional integral operator and derivative to investigate a coupled hybrid fractional -differential systems with sequential -derivatives. The existence uniqueness of solutions for proposed system are established by means Leray-Schauder’s alternative Banach contraction principle. Furthermore, Ulam-Hyers Ulam-Hyers-Rassias stability results discussed. Finally, two illustrative examples given highlight theoretical findings.
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2023
ISSN: ['0420-1213', '2391-4661']
DOI: https://doi.org/10.1515/dema-2022-0205