Nonlocal nonlinear integrodifferential equations of fractional orders

作者：Debbouche Amar; Baleanu Dumitru^*; Agarwal Ravi P

来源：Boundary Value Problems, 2012, 78.

DOI：10.1186/1687-2770-2012-78

• fractional evolution equation
• nonlocal condition
• Schauder's fixed point theorem
• uniformly continuous semigroup

In this paper, Schauder fixed point theorem, Gelfand-Shilov principles combined with semigroup theory are used to prove the existence of mild and strong solutions for nonlinear fractional integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces. To illustrate our abstract results, an example is given.
MSC: 35A05, 34G20, 34K05, 26A33.

• 出版日期2012