Global optimum solutions for a system of (k, ψ)-Hilfer fractional differential equations: Best proximity point approach

• Autorzy: Patle Pradip Ramesh , Gabeleh Moosa , De La Sen Manuel

Identyfikatory

DOI

10.1515/dema-2022-0253

• Języki publikacji: EN

Abstrakty

EN

In this article, a class of cyclic (noncyclic) operators are defined on Banach spaces via concept of measure of noncompactness using some abstract functions. The best proximity point (pair) results are manifested for the said operators. The obtained main results are applied to demonstrate the existence of optimum solutions of a system of fractional differential equations involving (k, ψ)-Hilfer fractional derivatives.

Słowa kluczowe

EN

best proximity point (pair); measure of noncompactness; Hilfer fractional differential equation; (k, ψ)-Hilfer fractional derivative; cyclic mapping; noncyclic mapping

PL

miara niezwartości; ułamkowe równanie różniczkowe Hilfera; pochodna ułamkowa Hilfera; mapowanie cykliczne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220253
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Patle Pradip Ramesh

• Department of Mathematics, School of Advance Sciences, VIT-AP University, Amravati 522237, India

autor

Gabeleh Moosa

• Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran

autor

De La Sen Manuel

• Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, Bizkaia, Spain

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).