Project Director

Graef, John

Department Examiner

Kong, Lingju; Nichols, Roger; Ahmadi, Mohammad

Department

Dept. of Mathematics

Publisher

University of Tennessee at Chattanooga

Place of Publication

Chattanooga (Tenn.)

Abstract

We consider a fractional boundary value problem with various boundary conditions. This boundary value problem has two components, one fractional derivative of alpha degree with alpha between n-1 and n, and a fractional derivative of beta degree with beta between 0 and n-2. We prove existence and uniqueness of solutions, and show some examples that were found using a MATLAB simulation.

Acknowledgments

Dr. John Graef was the director for this honors project. Dr. Lingju Kong, Dr. Roger Nichols, and Dr. Mohammad Ahmadi served on the examination committee for this project.

Degree

B. S.; An honors thesis submitted to the faculty of the University of Tennessee at Chattanooga in partial fulfillment of the requirements of the degree of Bachelor of Science.

Date

5-2016

Subject

Boundary value problems; Numerical analysis

Keyword

Fractional boundary value problem; Fractional calculus

Discipline

Mathematics

Document Type

Theses

Extent

11 leaves

Language

English

Rights

Under copyright.

License

http://creativecommons.org/licenses/by/3.0/

Included in

Mathematics Commons

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