Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay

作者：Abbas Said; Agarwal Ravi P^*; Benchohra Mouffak

来源：Nonlinear Analysis: Hybrid Systems , 2010, 4(4): 818-829.

DOI：10.1016/j.nahs.2010.06.001

• Impulsive partial differential equations
• Fractional order
• Solution
• Left-sided mixed Riemann-Liouville integral
• Caputo fractional-order derivative
• Variable times
• Infinite delay
• Fixed point

This paper deals with the existence of solutions to impulsive partial functional differential equations with impulses at variable times and infinite delay, involving the Caputo fractional derivative. Our works will be considered by using the nonlinear alternative of Leray-Schauder type.

• 出版日期2010-11
• 单位中国石油大学（北京）