Monotonic solutions for a quadratic integral equation of fractional order

In this paper we present a global existence theorem of a positive monotonic integrable solution for the mixed type nonlinear quadratic integral equation of fractional order\[x(t) = p(t) + h(t,x(t)) \int_{0}^{t} k(t,s)( f_1( s, I^\alpha f_2(s, x(s)))+g_1( s, I^\beta g_2(s, x(s))))ds,~t\in [0,1],\al...

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Bibliographic Details
Main Authors: A. M. A. El-Sayed, Sh. M. Al-Issa
Format: Article
Language:English
Published: AIMS Press 2019-07-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2019.3.821/fulltext.html