*INTEGRALS, *FIXED point theory, *BANACH spaces, *FRACTIONAL calculus, *MATHEMATICS
Abstract
In this paper, by using the Banach fixed point theorem, we prove the existence and uniqueness theorem of a fractional Volterra integral equation in the space of Lebesgue integrableL1(R+) on unbounded interval [0,∞). [ABSTRACT FROM AUTHOR]
INTEGRALS, FIXED point theory, BANACH spaces, FRACTIONAL calculus, MATHEMATICS
Abstract
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Mahdi Monje, Zaid A. A. and Ahmed, Buthainah A. A.
Subjects
*DIFFERENTIAL equations, *FIXED point theory, *NONLINEAR operators, *BANACH spaces, *MATHEMATICS
Abstract
In this paper we investigate the stability and asymptotic stability of the zero solution for the first order delay differential equation þ(t)=-ΣNj=1(t)y(t-τj(t))+f(t,y(t-964;(t)) where the delay is variable and by using Banach fixed point theorem. We give new conditions to ensure the stability and asymptotic stability of the zero solution of this equation. [ABSTRACT FROM AUTHOR]