Reduce Differential Transform Method for Analytical Approximation of Fractional Delay Differential Equation

Authors

Tahir Naseem, University of Engineering and Technology Taxila, PakistanFollow
Adnan Aurang Zeb, Department of Mathematics, Government Postgraduate College Haripur, 22620, PakistanFollow
Muhammad Sohail, Department of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, PakistanFollow

Corresponding Author

Tahir Nassem

Authors ORCID

https://orcid.org/0000-0003-1216-4128

Document Type

Research Article

Subject Areas

Numerical Analysis and Differential Equations

Keywords

Pantograph equations, Delay differential equation, Fractional differential equation, Reduced differential transform method

Abstract

The study of an entirely new class of differential equations known as delay differential equations or difference differential equations has resulted from the development and application of automatic control systems (DDEs). Time delays are virtually always present in any system that uses feedback control. Because it takes a finite amount of time to sense information and then react to it, a time delay is required. This exploration was carried out for the solution of fractional delay differential equations by using the reduced differential transform method. The results are presented in a series of form that leads to an exact answer. The proposed technique is found to be accurate and convergent. MAPLE 17 is used to illustrate the results graphically.

How to Cite This Article

Naseem, Tahir; Aurang Zeb, Adnan; and Sohail, Muhammad (2022) "Reduce Differential Transform Method for Analytical Approximation of Fractional Delay Differential Equation," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 1: Iss. 2, Article 7.
DOI: https://doi.org/10.54938/ijemdm.2022.01.2.35

Receive Date

2022-02-15 09:57:33

Publication Date

5-14-2022