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Title: Solvability of an Infinite System of Singular Integral Equations
Authors: El Borai, Mahmoud M.
Abbas, Mohamed I.
Keywords: Infinite System of Singular Integral Equations
Banach Sequence Space
Differential Equations of Fractional Orders
Issue Date: 2007
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 33, No 2-3, (2007), 241p-252p
Abstract: Schauder's fixed point theorem is used to establish an existence result for an infinite system of singular integral equations in the form: (1) xi(t) = ai(t)+ ∫t0 (t − s)− α (s, x1(s), x2(s), …) ds, where i = 1,2,…, α ∈ (0,1) and t ∈ I = [0,T]. The result obtained is applied to show the solvability of an infinite system of differential equation of fractional orders.
Description: 2000 Mathematics Subject Classification: 45G15, 26A33, 32A55, 46E15.
ISSN: 1310-6600
Appears in Collections:Volume 33, Number 2-3

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