Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays

By Lanying Hu, Yong Ren, Rathinasamy Sakthivel. 2009

78 citations recorded by the source corpus.

In this paper, we establish the existence and uniqueness of mild solutions for a class of semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays in α-norm. And the main tool is the fixed point theorem due to Sadovskii. Some known results are generalized.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/850b28e8b2a9a59c0130ee43fe1a57bfa9969036

Citations in the corpus

• Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay (2010, unknown): “[10], Mophou and N’Guérékata [18,19], N’Guérékata [20,21], Podlubny [23], Lin [16], Metzler et al.”