Existence results for nonlinear coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type

• Autorzy: Nabil Tamer

Identyfikatory

DOI

10.1515/dema-2020-0017

• Języki publikacji: EN

Abstrakty

EN

The combined systems of integral equations have become of great importance in various fields of sciences such as electromagnetic and nuclear physics. New classes of the merged type of Urysohn Volterra-Chandrasekhar quadratic integral equations are proposed in this paper. This proposed system involves fractional Urysohn Volterra kernels and also Chandrasekhar kernels. The solvability of a coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type is studied. To realize the existence of a solution of those mixed systems, we use the Perov’s fixed point combined with the Leray-Schauder fixed point approach in generalized Banach algebra spaces.

Słowa kluczowe

EN

fixed point; generalized Banach algebra; Chandrasekhar’s integral equation; Urysohn-Volterra integral equation

PL

punkt stały; algebra Banacha; równanie Chandrasekhara; równanie całkowe; równanie całkowe Volterra

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 236--248
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Nabil Tamer

• Suez Canal University, Faculty of Computers and Informatics, Department of Basic Science, Ismailia, Egypt

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).