A new type of integral transform and its applications to the solution of differential equations
In this paper, we introduce a novel integral transform to address certain ordinary differential equations, and it has been demonstrated that this transform possesses unique and highly advantageous properties. We examine this fascinating integral transform and its effectiveness in solving linear ordinary and partial differential equations. Also, we provide a graphical depiction of the solution to the respective differential equations.
Authors
- Imed Kédim (ORCID: https://orcid.org/0000-0002-4791-9730)
- Khellaf Ould Melha (ORCID: https://orcid.org/0009-0004-3759-2211)
- Vaijanath L. Chinchane (ORCID: https://orcid.org/0000-0003-4246-8405)
- Asha B. Nale (ORCID: https://orcid.org/0000-0003-2793-5992)
- Sabri T. M. Thabet
- Mohamed Elarbi Benattia
Institutions
- Université Oran 1 Ahmed Ben Bella (DZ)
- Gauhati University (IN)
- Prince Sattam Bin Abdulaziz University (SA)
- Université de Mostaganem (DZ)
- Chhatrapati Shahu Ji Maharaj University (IN)
- Korea University (JP)
- Hassiba Benbouali University of Chlef (DZ)
- Saveetha University (IN)
Publication Details
- Journal
- Boundary Value Problems
- Published
- 2026-01-19
- DOI
- https://doi.org/10.1186/s13661-026-02226-8
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00