A study of the fractional‐order mathematical model of diabetes and its resulting complications. (2nd June 2019)

• Record Type: Journal Article
• Authors: Srivastava, Hari M.; Shanker Dubey, Ravi; Jain, Monika
• Is Part Of: Mathematical methods in the applied sciences. Volume 42:Number 13(2019)
• Page Start: 4570
• Page End: 4583
• Publication Date: 2019-06-02
• Subjects: diabetes and its resulting complications -- existence -- fractional calculus -- fractional‐order modeling -- homotopy decomposition method (HDM) -- uniqueness and stability; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5681
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : Diabetes is a worldwide problem that affects one of every 11 persons nowadays. The IDF Diabetes Atlas (Eighth edition, 2017) states that approximately 415 million people in the world are living with the disease and that this number will rise to 629 million by the year 2045. It is a very serious problem of the world. A major part of the world population is affected by this disease and its resulting complications. In this paper, we propose to investigate a fractional‐order model of diabetes and its resulting complications. The mathematical model's parameters define the population of diabetic patients and those who are diabetic with complications at a given time t . We have also discussed the existence, uniqueness, and stability of the fractional‐order model, which we consider here. We make use of the homotopy decomposition method (HDM) in order to solve the problem.