# Solvability of an Infinite System of Singular Integral Equations

El Borai, Mahmoud M.; Abbas, Mohamed I.

Serdica Mathematical Journal (2007)

- Volume: 33, Issue: 2-3, page 241-252
- ISSN: 1310-6600

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topEl Borai, Mahmoud M., and Abbas, Mohamed I.. "Solvability of an Infinite System of Singular Integral Equations." Serdica Mathematical Journal 33.2-3 (2007): 241-252. <http://eudml.org/doc/281423>.

@article{ElBorai2007,

abstract = {2000 Mathematics Subject Classification: 45G15, 26A33, 32A55, 46E15.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.},

author = {El Borai, Mahmoud M., Abbas, Mohamed I.},

journal = {Serdica Mathematical Journal},

keywords = {Infinite System of Singular Integral Equations; Banach Sequence Space; Differential Equations of Fractional Orders; infinite system of singular integral equations; Banach sequence space; differential equations of fractional orders; Schauder's fixed point theorem},

language = {eng},

number = {2-3},

pages = {241-252},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Solvability of an Infinite System of Singular Integral Equations},

url = {http://eudml.org/doc/281423},

volume = {33},

year = {2007},

}

TY - JOUR

AU - El Borai, Mahmoud M.

AU - Abbas, Mohamed I.

TI - Solvability of an Infinite System of Singular Integral Equations

JO - Serdica Mathematical Journal

PY - 2007

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 33

IS - 2-3

SP - 241

EP - 252

AB - 2000 Mathematics Subject Classification: 45G15, 26A33, 32A55, 46E15.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.

LA - eng

KW - Infinite System of Singular Integral Equations; Banach Sequence Space; Differential Equations of Fractional Orders; infinite system of singular integral equations; Banach sequence space; differential equations of fractional orders; Schauder's fixed point theorem

UR - http://eudml.org/doc/281423

ER -

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