Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional q-derivatives

• Autorzy: Alzabut Jehad , Houas Mohamed , Abbas Mohamed I.

Identyfikatory

DOI

10.1515/dema-2022-0205

• Języki publikacji: EN

Abstrakty

EN

In the current manuscript, we combine the q-fractional integral operator and q-fractional derivative to investigate a coupled hybrid fractional q-differential systems with sequential fractional q-derivatives. The existence and uniqueness of solutions for the proposed system are established by means of Leray-Schauder’s alternative and the Banach contraction principle. Furthermore, the Ulam-Hyers and Ulam-Hyers-Rassias stability results are discussed. Finally, two illustrative examples are given to highlight the theoretical findings.

Słowa kluczowe

EN

fractional q-calculus; existence and uniqueness of solutions; boundary conditions; Ulam-Hyers stability; fixed point

PL

ułamkowy rachunek różniczkowy; istnienie i jednoznaczność rozwiązań; warunki brzegowe; stabilność Ulama-Hyersa; punkt stały

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220205
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Alzabut Jehad

• Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia
• Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, Türkiye

autor

Houas Mohamed

• Laboratory FIMA, UDBKM, Khemis Miliana University, Algeria

autor

Abbas Mohamed I.

• Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria 21511, Egypt

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).