A NOTE ON LINEAR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS

• 발행기관: 충청수학회
• 저자명: Sung Kyu Choi Namjip Koo
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 28, No. 4, 583~590쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2015.11.30

국문 초록

This paper deals with linear impulsive fractional differ-ential equations involving the Caputo derivative with non-integer order q. We provide exact solutions of linear impulsive fractional differential equations with constant coefficient by mean of the Mittag-Leffler functions. Then we apply the exact solutions to improve impulsive integral inequalities with singularity.

목차

1. Introduction

2. Main results

키워드

impulsive fractional differential equation fractional integral inequality Caputo fractional derivative Mittag-Leffler function.