کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
758398 | 896426 | 2012 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: On the concept and existence of solution for impulsive fractional differential equations On the concept and existence of solution for impulsive fractional differential equations](/preview/png/758398.png)
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.
► Error is shown in former solutions for impulsive fractional differential equations.
► A correct solution is found for those impulsive Caputo fractional Cauchy problems.
► Some sufficient conditions are established for the existence of solutions.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 7, July 2012, Pages 3050–3060