L1-solutions of the initial value problems for implicit differential equations with Hadamard fractional derivative

• Autorzy: Telli Benoumran , Souid Mohammed Said

Identyfikatory

DOI

10.1515/jaa-2021-2048

• Języki publikacji: EN

Abstrakty

EN

In this paper, we study the existence of integrable solutions for initial value problems for fractional order implicit differential equations with Hadamard fractional derivative. Our results are based on Schauder’s fixed point theorem and the Banach contraction principle fixed point theorem.

Słowa kluczowe

EN

implicit fractional order differential equation; Hadamard fractional derivative; existence fixed point

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2022
• Tom: Vol. 28, nr 1
• Strony: 1--9
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Telli Benoumran

• Department of Mathematics, University of Tiaret, Tiaret, Algeria

autor

Souid Mohammed Said

• Department of Economic Sciences, University of Tiaret, Tiaret

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).