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Abstract Fractional Integro-differential Equations Involving Nonlocal Initial Conditions in α-Norm by Rong-Nian Wang; Jun Liu; De-Han Chen is a Mathematics article available to read on EtoBox.
What is Abstract Fractional Integro-differential Equations Involving Nonlocal Initial Conditions in α-Norm about?
In the present paper, we deal with the Cauchy problems of abstract fractional integro-differential equations involving nonlocal initial conditions in a-norm, where the operator A in the linear part is the generator of a compact analytic semigroup. New criterions, ensuring the existence of mild solutions, are established. The results are obtained by using the theory of operator families associated with the function of Wright type and the semigroup generated by A, Krasnoselkii's fixed point theorem and Schauder's fixed point theorem. An application to a fractional partial integrodifferential equation with nonlocal initial condition is also considered. ## Mathematics subject classification (2000) 26A33, 34G10, 34G20
Who reads Abstract Fractional Integro-differential Equations Involving Nonlocal Initial Conditions in α-Norm?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Rong-Nian Wang; Jun Liu; De-Han Chen
- Publisher
- Springer International Publishing AG; Springer (Biomed Central Ltd.); Springer Verlag; Cairo: Hindawi; Springer Science and Business Media LLC; Society for Mining, Metallurgy and Exploration Inc. (ISSN 1687-1839)
- Published
- 2011
- Language
- EN
- ISBN
- 9781687184726
- Field
- Mathematics (Physical Sciences)