|
|||||
|
|
On the concept and existence of solution for impulsive fractional differential equations |
|
| Authors: | Michal Fec?kan JinRong Wang |
| Institution: | a Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia b Department of Mathematics, Xiangtan University, Xiangtan, Hunan 411105, PR China c Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, PR China |
| Abstract: | This paper is motivated from some recent papers treating the problem of the existence of a solution for impulsive differential equations with fractional derivative. We firstly show that the formula of solutions in cited papers are incorrect. Secondly, we reconsider a class of impulsive fractional differential equations and introduce a correct formula of solutions for a impulsive Cauchy problem with Caputo fractional derivative. Further, some sufficient conditions for existence of the solutions are established by applying fixed point methods. Some examples are given to illustrate the results. |
| Keywords: | Caputo fractional derivative Impulsive differential equations Existence |
| 本文献已被 ScienceDirect 等数据库收录！ | |