Fixed point theorem combined with variational methods for a class of nonlinear impulsive fractional problems with derivative dependence

• Published in: AIMS mathematics Vol. 6; no. 2; pp. 1943 - 1953
• Main Authors: Khaliq, Adnan, ur Rehman, Mujeeb
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: critical points; fixed point theorem; fractional impulsive boundary value problem; variational methods

In this article, we deal with a class of nonlinear impulsive problems of fractional-order in which nonlinearity is due to the fractional-order derivative term. The investigation involved a fixed point theorem with a combination of variational approach and critical point theory to establish sufficien...