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Peer-reviewedCC BY 4.0Axioms

Modified Decomposition Algorithms for Fractional Delay Boundary Value Problems

  • Mona Alsulami1
  • Mariam Al-Mazmumy1
  • Bashair Banweer1
  1. 1Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 23218, Saudi Arabia
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Abstract

This paper proposes two modified Adomian decomposition method-based algorithms for solving fractional delay boundary value problems. The algorithms effectively handle linear and nonlinear problems by constructing rapidly convergent series solutions using Adomian polynomials. Several examples are presented to showcase the exactness and effectiveness of the devised algorithms, where the results portray that the new methods achieve exact solutions with fewer components compared to existing numerical techniques.

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Cite

BibTeXRIS
BibTeX
@article{alsulami2026modified,
  title = {{Modified Decomposition Algorithms for Fractional Delay Boundary Value Problems}},
  author = {Mona Alsulami and Mariam Al-Mazmumy and Bashair Banweer},
  journal = {Axioms},
  year = {2026},
  month = oct,
  doi = {10.3390/axioms15100749},
  url = {https://www.mdpi.com/2075-1680/15/10/749},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Modified Decomposition Algorithms for Fractional Delay Boundary Value Problems
AU  - Mona Alsulami
AU  - Mariam Al-Mazmumy
AU  - Bashair Banweer
PY  - 2026
DA  - 2026/10/08
JO  - Axioms
DO  - 10.3390/axioms15100749
UR  - https://www.mdpi.com/2075-1680/15/10/749
AB  - This paper proposes two modified Adomian decomposition method-based algorithms for solving fractional delay boundary value problems. The algorithms effectively handle linear and nonlinear problems by constructing rapidly convergent series solutions using Adomian polynomials. Several examples are presented to showcase the exactness and effectiveness of the devised algorithms, where the results portray that the new methods achieve exact solutions with fewer components compared to existing numerical techniques.
SN  - 2075-1680
ER  -