A note on the fractional Cauchy problems with nonlocal initial conditions

作者：Wang, Rong-Nian; Xiao, Ti-Jun^*; Liang, Jin

来源：Applied Mathematics Letters, 2011, 24(8): 1435-1442.

DOI：10.1016/j.aml.2011.03.026

• Fractional integro-differential equations
• Nonlocal initial conditions
• Mild solution
• Existence

Of concern is the Cauchy problems for fractional integro-differential equations with nonlocal initial conditions. Using a new strategy in terms of the compactness of the semigroup generated by the operator in the linear part and approximating technique, a new existence theorem for mild solutions is established. An application to a fractional partial integro-differential equation with a nonlocal initial condition is also considered.

• 出版日期2011-8
• 单位南昌大学; 复旦大学; 上海交通大学