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Existence of solutions for a system of Chandrasekhar’s equations in Banach algebras underweak topology
Author(s) -
Amor Fahem,
Aref Jeribi,
Najib Kaddachi
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1918949f
Subject(s) - mathematics , banach algebra , regular polygon , chandrasekhar limit , pure mathematics , block (permutation group theory) , operator (biology) , type (biology) , fixed point theorem , quadratic equation , c0 semigroup , banach space , algebra over a field , combinatorics , ecology , stars , biochemistry , physics , geometry , chemistry , repressor , astronomy , biology , transcription factor , gene , white dwarf
This paper is devoted to the study of a coupled system within fractional integral equations in suitable Banach algebra. In particular, we are concerned with a quadratic integral equations of Chandrasekhar type. The existence of solutions will be proved by applying fixed point theorem of a 2 x 2 block operator matrix defined on a nonempty, closed and convex subset of Banach algebra where the entries are weakly sequentially continuous operators.

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