IVPs for singular multi-term fractional differential equations with multiple base points and applications

• Autorzy: Yuji Liu , Pinghua Yang
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term fractional derivatives.

Kategorie tematyczne

• 34A37: Differential equations with impulses
• 92D25: Population dynamics (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2014
• Tom: 41
• Numer: 4
• Strony: 361-384

Daty

wydano

2014

Twórcy

autor

Yuji Liu

• Department of Mathematics, Guangdong University of Finance, and Economics, Guangzhou 510320, P.R. China

autor

Pinghua Yang

• Department of Basic Courses, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050000, P.R. China

Identyfikatory

DOI

10.4064/am41-4-7