Abstract Cauchy problem for fractional differential equations

作者：Wang, JinRong; Zhou, Yong^*; Feckan, Michal

来源：Nonlinear Dynamics, 2013, 71(4): 685-700.

DOI：10.1007/s11071-012-0452-9

• Fractional differential equations
• Cauchy problems
• Impulsive problems
• Nonlocal problems
• Hausdorff measure of noncompactness

In this paper, a generalized Darbo's fixed-point theorem associated with Hausdorff measure of noncompactness is established. Then we apply this new variant fixed-point theorem to study some fractional differential equations in Banach spaces via the technique of measure of noncompactness. Many novel existence and uniqueness results for solutions are obtained under the more general conditions.

• 出版日期2013-3
• 单位贵州大学; 湘潭大学