Theses and Dissertations
Issuing Body
Mississippi State University
Advisor
Razzaghi, Mohsen
Committee Member
Qian, Chuanxi
Committee Member
Kim, Seongjai
Committee Member
Yarahmadian, Shantia
Committee Member
Miller, T. Len
Date of Degree
8-12-2016
Document Type
Dissertation - Open Access
Major
Mathematics
Degree Name
Doctor of Philosophy
College
College of Arts and Sciences
Department
Department of Mathematics and Statistics
Abstract
In this dissertation, a new numerical method for solving fractional calculus problems is presented. The method is based upon the fractional Taylor vector approximations. The operational matrix of the fractional integration for the fractional Taylor vector is introduced. This matrix is then utilized to reduce the solution of the fractional calculus problems to the solution of a system of algebraic equations. This method is used to solve fractional differential equations, Bagley-Torvik equations, fractional integro-differential equations, and fractional duffing problems. Illustrative examples are included to demonstrate the validity and applicability of this technique.
URI
https://hdl.handle.net/11668/18163
Recommended Citation
KrishnasamySaraswathy, Vidhya, "The Numerical Solutions of Fractional Differential Equations with Fractional Taylor Vector" (2016). Theses and Dissertations. 4576.
https://scholarsjunction.msstate.edu/td/4576