A survey and new investigation on \((n,n-k)\)-type boundary value problems for higher order impulsive fractional differential equations
In this paper, the author firstly takes a survey for some existing results on boundary value problems of higher order ordinary differential equations. Then, the author makes a review for some literature on the solvability of boundary value problems for impulsive fractional differential equations. Thirdly, the author considers existence results of solutions for three classes of \((n,n-p)\)-type boundary value problems of impulsive higher order fractional differential equations by using some standard fixed point theorems in Banach space. Some examples are presented to illustrate the efficiency of the obtained results. Finally, the author gives some future research topics on impulsive fractional differential equations.
higher order fractional differential system
\((n,n-k)\) focal boundary value problem
scientific article; zbMATH DE number 6707546
scientific article