EXISTENCE OF SOLUTIONS FOR HYBRID FRACTIONAL PANTOGRAPH EQUATIONS

被引：14
作者：
Darwish, Mohamed Abdalla [1 ,2 ]
Sadarangani, Kishin [3 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Sci Fac Girls, Jeddah 21413, Saudi Arabia
[2] Damanhour Univ, Dept Math, Fac Sci, Damanhour, Egypt
[3] Univ Las Palmas Gran Canaria, Dept Matemat, Las Palmas Gran Canaria 35017, Spain
来源：
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2015年 / 9卷 / 01期
关键词：
Banach algebras; hybrid; measure of noncompactness; Riemann-Liouville; pantograph equations; LINEAR MODIFICATION; INTEGRAL-EQUATION;
D O I：
10.2298/AADM150126002D
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of the hybrid fractional pantograph equation {D-0+(alpha) [x(t)/f(t, x(t,), x(mu t))] = g(t, x(t), x(sigma t)), 0 < t < 1, {x(0) = 0, where alpha,mu,sigma is an element of (0,1) and D-0+(alpha) denotes the Riemann-Liouville fractional derivative. The results are obtained using the technique of measures of noncompactness in the Banach algebras and a fixed point theorem for the product of two operators verifying a Darbo type condition. Some examples are provided to illustrate our results.
引用
收藏
页码：150 / 167
页数：18
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