Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces

• Autorzy: Wang Chao

Identyfikatory

DOI

10.1515/dema-2024-0081

• Języki publikacji: EN

Abstrakty

EN

The problem of common solutions for nonlinear equations has significant theoretical and practical value. In this article, we first introduce a new concept of a pair of (𝛼,Θ)-type contractions, and then, we present some common fixed point results for the contractions in complete metric spaces. Finally, our results are applied to consider the existence, uniqueness and approximation of common solutions for two classes of nonlinear fractional differential equations.

Słowa kluczowe

EN

common fixed point; a pair of (α, Θ)-type contractions; existence and uniqueness; nonlinear fractional differential equations

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240081
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Wang Chao

• School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

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 (2026).