Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup

Author

Yang, He

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-11-06

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

This paper deals with the existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup.

We prove the existence of mild solutions, assuming that the nonlinear part satisfies some local growth conditions in fractional power spaces.

An example is also given to illustrate the applicability of abstract results.

American Psychological Association (APA)

Yang, He. 2012. Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-506733

Modern Language Association (MLA)

Yang, He. Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-506733

American Medical Association (AMA)

Yang, He. Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-506733

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-506733