• Journal of applied mathematics & informatics
• /
• v.34 no.3_4
• /
• pp.193-206
• /
• 2016

In this paper, we study boundary value problems for fractional integrodifferential equations involving Caputo derivative in Banach spaces. A generalized singular type Gronwall inequality is given to obtain an important priori bounds. Some sufficient conditions for the existence solutions are established by virtue of fractional calculus and fixed point method under some mild conditions.

• Journal of the Chungcheong Mathematical Society
• /
• v.31 no.1
• /
• pp.161-166
• /
• 2018

This paper deals an impulsive fractional integral inequality with singular kernel which can be used in getting the explicit estimate of solutions of impulsive fractional differential equations.

• Journal of applied mathematics & informatics
• /
• v.42 no.4
• /
• pp.915-930
• /
• 2024

We obtain new fractional integral inequalities which generalize certain inequalities given in [16]. Generalized inequalities can be used to study global existence results for fractional differential equations.