Existence results for ABC-fractional BVP via new fixed point results of F-Lipschitzian mappings

• Autorzy: Mehmood Nayyar , Khan Israr Ali , Nawaz Muhammad Ayyaz , Ahmad Niaz

Identyfikatory

DOI

10.1515/dema-2022-0028

• Języki publikacji: EN

Abstrakty

EN

In this article, fixed point results for self-mappings in the setting of two metrics satisfying F -lipschitzian conditions of rational-type are proved, where F is considered as a semi-Wardowski function with constant τ∈R instead of τ>0 . Two metrics have been considered, one as an incomplete while the other is orbitally complete. The mapping is taken to be orbitally continuous from one metric to another. Some examples are provided to validate our results. For applications, we present existence results for the solutions of a new type of ABC-fractional boundary value problem.

Słowa kluczowe

EN

fixed points; F-Lipschitzian; two metrics; fractional BVP

PL

punkt stały; metryki; odwzorowania

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 452--469
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Mehmood Nayyar

• International Islamic University, H-10, Islamabad, Pakistan

autor

Khan Israr Ali

• Department of Mathematics, Namal University, Mianwali, 30 Km Talagang Rd, Mianwali 42250, Pakistan

autor

Nawaz Muhammad Ayyaz

• Islamabad Model College for Boys I-8/3, Islamabad, Pakistan

autor

Ahmad Niaz

• International Islamic University, H-10, Islamabad, Pakistan

Bibliografia

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Uwagi

PL

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).