On the existence and Ulam-Hyers stability for implicit fractional differential equation via fractional integral-type boundary conditions

• Autorzy: El-Sayed Ahmed Mohamad , Al-Issa Shorouk Mahmoud , El Miari Maysaa Mohamad

Identyfikatory

DOI

10.1515/dema-2023-0130

• Języki publikacji: EN

Abstrakty

EN

This study investigates the existence of solutions for implicit fractional differential equations with fractional-order integral boundary conditions. We create the required conditions to ensure unique solution and Ulam-Hyers-Rassias stability. We also give examples to highlight the major findings.

Słowa kluczowe

EN

implicit fractional-order differential equation; existence results; Green’s function; boundary value problems; Ulam-Hyers stability

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20230130
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

El-Sayed Ahmed Mohamad

• Department of mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

autor

Al-Issa Shorouk Mahmoud

• Department of Mathematics, Faculty of Science, Lebanese International University, Saida, Lebanon

autor

El Miari Maysaa Mohamad

• Department of Mathematics, Faculty of Science, The International University of Beirut, Beirut, Lebanon

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).