title: A study of impulsive multiterm fractional differential equations with single and multiple base points and applications.
abstract: We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. Our study includes the cases for a single base point fractional differential equation as well as multiple base points fractional differential equation. The asymptotic behavior of solutions for the problems is also investigated. We demonstrate the utility of our work by applying the main results to fractional-order logistic models.
authors.affiliation: Department of Mathematics, Guangdong University of Business Studies, Guangzhou 510320, China.
authors.forename: Yuji
authors.initials: Y
authors.lastname: Liu
authors.affiliation: Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
authors.forename: Bashir
authors.initials: B
authors.lastname: Ahmad
mesh_terms: D008962:Models, Theoretical