Monotone Iterative Technique for Impulsive Riemann-Liouville Fractional Differential Equations

被引：10
作者：
Chaudhary, Renu [1 ]
Pandey, Dwijendra N. [2 ]
机构：
[1] GD Goenka Univ, Sch Engn, Dept Basic & Appl Sci, Sohna 122103, Gurugram, India
[2] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
来源：
FILOMAT | 2018年 / 32卷 / 09期
关键词：
Monotone iterative technique; Measure of noncompactness; Semigroup theory; Lower and upper solutions; INITIAL-VALUE PROBLEM; EVOLUTION-EQUATIONS; APPROXIMATE CONTROLLABILITY; SYSTEMS;
D O I：
10.2298/FIL1809381C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, Monotone iterative technique coupled with the method of lower and upper solutions is employed to discuss the existence and uniqueness of mild solution to an impulsive Riemann-Liouville fractional differential equation. The results are obtained using the concept of measure of noncompactness, semigroup theory and generalized Gronwall inequality for fractional differential equations. At last, an example is given to illustrate the applications of the main results.
引用
收藏
页码：3381 / 3395
页数：15
相关论文
共 41 条
[1]   Iterative techniques for the initial value problem for Caputo fractional differential equations with non-instantaneous impulses [J].
Agarwal, Ravi ;
Hristova, S. ;
O'Regan, D. .
APPLIED MATHEMATICS AND COMPUTATION, 2018, 334 :407-421
[2]   Monotone iterative technique for the initial value problem for differential equations with non-instantaneous impulses [J].
Agarwal, Ravi ;
O'Regan, D. ;
Hristova, S. .
APPLIED MATHEMATICS AND COMPUTATION, 2017, 298 :45-56
[3]  
[Anonymous], 2015, Prog. Frac. Differ. Appl.
[4]  
[Anonymous], 2000, Applications of Fractional Calculus in Physics
[5]  
[Anonymous], 2006, THEORY APPL FRACTION
[6]  
[Anonymous], 1999, Fractional Differential Equations
[7]  
[Anonymous], 1993, INTRO FRACTIONAL CA
[8]  
[Anonymous], ELECT J DIFFERENTIAL
[9]  
[Anonymous], 1985, NONLINEAR FUNCTIONAL
[10]  
Bai ZB, 2016, ELECTRON J DIFFER EQ
12345