Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations

Author

Mu, Jia

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-18, 18 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-08-25

Country of Publication

Egypt

No. of Pages

18

Main Subjects

Mathematics

Abstract EN

We mainly study the fractional evolution equation in an ordered Banach space XDC0a+u(t)+Au(t)=f(t,u(t),Gu(t)) , 1<α<2, u(0)=x∈X, u′(0)=θ.

Using the monotone iterative technique based on lower and upper solutions, the existence and uniqueness results are obtained.

The necessary perturbation results for accomplishing this approach are also developed.

American Psychological Association (APA)

Mu, Jia. 2011. Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-512231

Modern Language Association (MLA)

Mu, Jia. Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations. Abstract and Applied Analysis No. 2011 (2011), pp.1-18.
https://search.emarefa.net/detail/BIM-512231

American Medical Association (AMA)

Mu, Jia. Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-512231

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-512231