Masters Theses
Keywords and Phrases
delta discrete Mittag--Leffler Function; discrete delta fractional calculus; exponential problem
Abstract
"Previously the exponential problem in discrete fractional calculus under the nabla operator was solved with the discrete Mittag--Leffler function. We now show the solution to the exponential problem in discrete fractional calculus under the delta operator, providing multiple derivations of the solution with recursion and Laplace transforms. We also share some computational and numerical results of experiments with different orders of difference to display the nature of the solution" -- Abstract, p. iii
Advisor(s)
Bohner, Martin, 1966-
Committee Member(s)
Adekpedjou, Akim
He, Xiaoming
Department(s)
Mathematics and Statistics
Degree Name
M.S. in Applied Mathematics
Publisher
Missouri University of Science and Technology
Publication Date
Summer 2024
Pagination
viii, 53 pages
Note about bibliography
Includes_bibliographical_references_(page 52)
Rights
©2024 Brayton James Link , All Rights Reserved
Document Type
Thesis - Open Access
File Type
text
Language
English
Thesis Number
T 12394
Electronic OCLC #
1477884485
Recommended Citation
Link, Brayton James, "The Exponential Function in Discrete Fractional Calculus under the Delta Operator" (2024). Masters Theses. 8201.
https://scholarsmine.mst.edu/masters_theses/8201
