Analysis of Natural Daftardar–Jafari Method for Fractional Delay Differential Equations

The decomposition methods such as Daftardar–Jafari method (DJM) have been applied previously to obtain a solution of the fractional differential equations. In the present article, we develop a decomposition method to solve fractional delay differential equations (FDDEs) using Natural Transform and D...

Full description

Saved in:
Bibliographic Details
Published in:International journal of applied and computational mathematics 2024-06, Vol.10 (3), Article 117
Main Authors: Mahatekar, Yogita, Deshpande, Amey S.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational Science and Engineering
Decomposition
Delay
Differential equations
Fractional calculus
Integral transforms
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The decomposition methods such as Daftardar–Jafari method (DJM) have been applied previously to obtain a solution of the fractional differential equations. In the present article, we develop a decomposition method to solve fractional delay differential equations (FDDEs) using Natural Transform and Daftardar–Jafari method. This method is referred to as Natural Dafatardar Jafari Method (NDJM) for fractional delay differential equations. Further we perform a convergence analysis of NDJM for FDDEs and find the error bounds. We demonstrate NDJM for FDDEs with the help of various examples involving FDDEs and systems of FDDEs. We prove that the NDJM for FDDEs is more accurate than the contemporary integral transform methods, simplistic to implement yet more generalized than other transforms, and efficient in each case.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-024-01753-1