On the Nonlinear Impulsive Ψ-Hilfer Fractional Differential Equations

被引：16
|
作者：
Kucche, Kishor D. [1 ]
Kharade, Jyoti P. [1 ]
Sousa, J. Vanterler da C. [2 ]
机构：
[1] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India
[2] Imecc Unicamp, Dept Appl Math, BR-13083859 Campinas, SP, Brazil
来源：
MATHEMATICAL MODELLING AND ANALYSIS | 2020年 / 25卷 / 04期
关键词：
Psi-Hilfer fractional derivative; fractional differential equations; impulsive; non-local; existence and uniqueness; fixed point theorem; BOUNDARY-VALUE-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; STABILITY;
D O I：
10.3846/mma.2020.11445
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the nonlinear Psi-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of solutions. The acquired results are extended to the nonlocal Psi-Hilfer impulsive fractional differential equation. We gave an applications to the outcomes we obtained. Further, examples are provided in support of the results we got.
引用
收藏
页码：642 / 660
页数：19
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