NABLA Fractional Calculus and Its Application in Analyzing Tumor Growth of Cancer

NABLA Fractional Calculus and Its Application in Analyzing Tumor Growth of Cancer

This thesis consists of six chapters. In the first chapter, we review some basic definitions and concepts of fractional calculus. Then we introduce fractional difference equations involving the Riemann-Liouville operator of real number order between zero and one. In the second chapter, we apply the...

Full description

Bibliographic Details
Main Author:	Wu, Fang
Format:	Others
Published:	TopSCHOLAR® 2012
Subjects:	Lower and Upper Solutions Signoidal Curves fractional calculus Analysis Applied Mathematics Mathematics Numerical Analysis and Computation
Online Access:	http://digitalcommons.wku.edu/theses/1217 http://digitalcommons.wku.edu/cgi/viewcontent.cgi?article=2220&context=theses

Similar Items

Green's Functions of Discrete Fractional Calculus Boundary Value Problems and an Application of Discrete Fractional Calculus to a Pharmacokinetic Model
by: Charoenphon, Sutthirut
Published: (2014)

Green's Functions of Discrete Fractional Calculus Boundary Value Problems and an Application of Discrete Fractional Calculus to a Pharmacokinetic Model
by: Charoenphon, Sutthirut
Published: (2014)

Development of Nabla Fractional Calculus and a New Approach to Data Fitting in Time Dependent Cancer Therapeutic Study
by: Acar, Nihan
Published: (2012)

On nabla discrete fractional calculus operator for a modified Bessel equation
by: Yilmazer Resat, et al.
Published: (2018-01-01)

Fractional Calculus: Definitions and Applications
by: Kimeu, Joseph M.
Published: (2009)

Insight into the Fractional Calculus via a Spreadsheet
by: David A Miller, et al.
Published: (2009-11-01)

Special Functions: Fractional Calculus and the Pathway for Entropy
Published: (2018)

Particular Solutions of the Confluent Hypergeometric Differential Equation by Using the Nabla Fractional Calculus Operator
by: Resat Yilmazer, et al.
Published: (2016-02-01)

Development of Fractional Trigonometry and an Application of Fractional Calculus to Pharmacokinetic Model
by: Almusharrf, Amera
Published: (2011)

Functional Calculus
Published: (2020)

An introduction to fractional calculus
by: André Persechino
Published: (2020-02-01)

Mathematical modeling of fish burger baking using fractional calculus
by: Bainy Eduarda M., et al.
Published: (2017-01-01)

Convergence of approximate solutions to nonlinear Caputo nabla fractional difference equations with boundary conditions
by: Xiang Liu, et al.
Published: (2020-01-01)

Operators of Fractional Calculus and Their Applications
Published: (2019)

A study on nabla discrete fractional operator in mass - spring - damper system
by: Okkes Ozturk
Published: (2016-10-01)

Motivation for certain theorems of the calculus /
by: Holden, Lyman Sanford
Published: (1966)

Fractional nonlinear Volterra–Fredholm integral equations involving Atangana–Baleanu fractional derivative: framelet applications
by: Mutaz Mohammad, et al.
Published: (2020-11-01)

Hilbert-type inequalities for time scale nabla calculus
by: H. M. Rezk, et al.
Published: (2020-11-01)

On History of Mathematical Economics: Application of Fractional Calculus
by: Vasily E. Tarasov
Published: (2019-06-01)

Numerical Solution and Applications of Fractional Differential Equations
Published: (2023)

Fractional Calculus: Theory and Applications
Published: (2018)

PRE-CALCULUS CONCEPTS FUNDAMENTAL TO CALCULUS
by: Smith, Michael M.
Published: (2006)

Fractional calculus in the sky
by: Dumitru Baleanu, et al.
Published: (2021-02-01)

CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM
by: Stockham, Ty
Published: (2019)

General Fractional Calculus: Multi-Kernel Approach
by: Vasily E. Tarasov
Published: (2021-06-01)

Analysis and numerical solutions of fragmentation equation with transport.
by: Wetsi, Poka David.
Published: (2014)

Existence of positive solutions for discrete delta-nabla fractional boundary value problems with p-Laplacian
by: Huan Liu, et al.
Published: (2017-04-01)

Editorial: Fractional Calculus and Its Applications in Physics
by: Devendra Kumar, et al.
Published: (2019-06-01)

An Analysis of the Order of Limit-Related Topics as Presented in Six Elementary Calculus Textbooks
by: Antonides, Joseph
Published: (2017)

Analysis of Discrete Fractional Operators and Discrete Fractional Rheological Models
by: Uyanik, Meltem
Published: (2015)

Applications of Fractional Calculus In Chemical Engineering
by: Shen, Xin
Published: (2018)

The role of counterexamples in a first course in calculus /
by: Anderson, Osiefield
Published: (1970)

A new conformable nabla derivative and its application on arbitrary time scales
by: Mohamad Rafi Segi Rahmat, et al.
Published: (2021-05-01)

Functional Calculus Recent Advances and Development
Published: (2023)

Malliavin calculus and its applications to mathematical finance
by: Kgomo, Shadrack Makwena
Published: (2021)

An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations
by: Mutaz Mohammad, et al.
Published: (2020-07-01)

A conformable fractional calculus on arbitrary time scales
by: Nadia Benkhettou, et al.
Published: (2016-01-01)

Generalized Memory: Fractional Calculus Approach
by: Vasily E. Tarasov
Published: (2018-09-01)

Noether's theorems and the calculus of variations /
by: Logan, J. David
Published: (1970)

Nonstandard analysis based calculus
by: Gibson, Kathleen Renae
Published: (1994)

Cannot write session to /tmp/vufind_sessions/sess_i459gnkec6fd5p7bm1gq46toqj