STABILITY ANALYSIS FOR A GENERALIZED PROPORTIONAL FRACTIONAL LANGEVIN EQUATION WITH VARIABLE COEFFICIENT AND MIXED INTEGRO-DIFFERENTIAL BOUNDARY CONDITIONS

被引：15
|
作者：
Sudsutad, Weerawat [1 ]
Alzabut, Jehad [2 ]
Nontasawatsri, Somsiri [3 ]
Thaiprayoon, Chatthai [4 ]
机构：
[1] Navamindradhiraj Univ, Fac Sci & Hlth Technol, Dept Gen Educ, Bangkok 10300, Thailand
[2] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia
[3] Navamindradhiraj Univ, Fac Sci & Hlth Technol, Dept Hlth Technol, Bangkok 10300, Thailand
[4] Burapha Univ, Dept Math, Fac Sci, Chon Buri 20131, Thailand
来源：
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2020年 / 2020卷
关键词：
Fractional Langevin equation; Generalized proportional fractional derivative; Ulam stability; Existence and Uniqueness; Fixed point theorem; DIFFERENTIAL-EQUATIONS; DERIVATIVES;
D O I：
10.23952/jnfa.2020.23
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the Langevin equation within the generalized proportional fractional derivative. The proposed equation involves a variable coefficient and subjects to mixed integrodifferential boundary conditions. We introduce the generalized proportional fractional derivative and expose some of its features. We mainly investigate the existence, uniqueness and different types of Ulam stability of the solutions via fixed point theorems and inequality techniques. Finally, we provide two examples to support our main results.
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页数：24
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