Solvability of an Infinite System of Singular Integral Equations

El 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 -