Existence of solutions of initial value problems for nonlinear fractional differential equations on the half-axis

• Published in: Nonlinear analysis Vol. 74; no. 17; pp. 5975 - 5986
• Main Authors: Kou, Chunhai, Zhou, Huacheng, Yan, Ye
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01.12.2011; Elsevier
• Subjects: Banach space; Derivatives; Differential equations; Exact sciences and technology; Fractional differential equation; Global existence; Half-axis; Initial value problem; Initial value problems; Mathematical analysis; Mathematics; Nonlinearity; Numerical analysis; Numerical analysis. Scientific computation; Ordinary differential equations; Partial differential equations; Partial differential equations, initial value problems and time-dependant initial-boundary value problems; Sciences and techniques of general use; Fractional differential equation; Global existence; Half-axis; Initial value problem; Non linear equation; Differential equation; Existence of solution; Nonlinear analysis; Mathematical model

The main aim of this paper is to study the global existence of solutions of initial value problems for nonlinear fractional differential equations(FDEs) on the half-axis, which is fundamental in the basic theory of FDEs and important in stability analysis of this kind of equations. In this paper, we...