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

Author:

Hu Lanying,Ren Yong,Sakthivel R.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference20 articles.

1. Anguraj, A., Karthikeyan, P., N’Guérékata, G.M.: Nonlocal Cauchy problem for some fractional abstract differential equations in Banach spaces. Commun. Math. Anal. 6, 31–35 (2009)

2. Balachandran, K., Park, J.Y.: Nonlocal Cauchy problem for abstract fractional semilinear evolution equations. Nonlinear Anal. (in press)

3. Byszewski, L.: Theorems about the existence and uniqueness of a solution of a semilinear evolution nonlocal Cauchy problem. J. Math. Anal. Appl. 162, 496–505 (1991)

4. Byszewski, L., Akca, H.: On a mild solution of a semilinear functional-differential evolution nonlocal problem. J. Appl. Math. Stoch. Anal. 10, 265–271 (1997)

5. Chang, Y.K., Kavitha, V., Mallika Arjunan, M.: Existence and uniqueness of mild solutions to a semilinear integro-differential equation of fractional order. Nonlinear Anal. (in press)

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