TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Freq.: MONTHLY - Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Using FPV-transforms to solve a system of PDEs

* , ,

* Corresponding author · click or hover a name for details

pp. 1999–2003Vol. 28Issue 5August 2025DOI: 10.47974/JIM-2222XML
Received:
06 Nov 2024
Published Online:
28 Aug 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2222
Pages:
1999–2003

Abstract

The fields of scientific and engineering depend heavily on fuzzy partial integro-differential equations for their operations. The proposed solution for fuzzy partial differential equations utilizes the fuzzy V-transform transform as a modern technique. The research presents first and second-order fuzzy partial derivative formula obtained from highly generalized H-differentiability principles. The research begins with an explanation of fuzzy partial V-transforms before introducing fuzzy partial differential equation solutions. The proposed method receives demonstration through an application to show its operational potential.

Keywords

Subject Classifications

34A0734A0834A22

References

[1] J. Schiff, “The Laplace transform: theory and application”, Springer (2013).
[2] S.M. Kadham and M.A. Mustafa, “Medical applications of the new transform,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1341-1353 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1632.
[3] S. M. Kadham and M. A. Mustafa, “Fuzzy SHmath. Mbio-transform generalization and application to skin cancer imaging (distributed diseases),” J. Interdiscip. Math., vol. 26, no. 6, pp. 1031-1042 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1603.
[4] R. H. Hasan, M. A. Kadhim, and A. M. Darweesh, “Fuzzy partial T-transforms applied to a system of PDE,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1099-1107 (2023). [Online]. Available: https://doi. org/10.47974/JIM-1609.
[5] P. Majumdar, S.K. Samanta, On soft mappings, Comput. Math. Appl, vol. 60, no. 9, pp. 2666-2672 (Nov. 2010), doi: https://doi.org/10.1016/j.camwa.2010.09.004. 
[6] T. M. Al-shami, M. El-Shafei, Two types of separation axioms on supra soft topological spaces, Demonstr. Math., vol. 52, pp.147-165 (2019). [Online] Available: https://doi.org/10.1515/dema-2019-0016
[7] H. J. Mehdi and H. B. Shelash, “Computing the Certain subgroups of the group D 2n × C p, p is an Odd Prime Number,” J. Phys. Conf. Ser. vol. 1818, no. 1, pp. 012081 (2021). [Online] Available: https://doi.org/10.1088/1742-6596/1818/1/012081.
[8] O. A. Hadi and H.B. Shelash, “Relation between cyclicity degree and cyclic graph of dihedral group D2n,” AIP conference proceedings, vol. 2834, pp. 090018-090018 (2023). [Online] Available: https://doi.org/10.1063/5.0161568.
[9] O. A. Hadi and H.B. Shelash, “Finite groups with the probability of parameters,” AIP conference proceedings, vol. 2834, pp. 080149-080149 (2023). [Online] Available: https://doi.org/10.1063/5.0161529.
[10] I. Z. Mushtt, J. A. Jasim, and H. M. Mohi, “Double INEM-transform integral for solving second order partial differential equation,” J. Interdiscip. Math.,  vol. 28, no. 1, pp. 339-346 (2025). [Online] Available: https://doi.org/10.47974/jim-1997.
[11] M.R. Farahani, S. Jafari, S.A.Mohiuddine, M. Cancan., “Intuitionistic Fuzzy Stability of Generalized Additive Set-Valued Functional Equation via Fixed Point Method,” Mathematical Statistician and Engineering Applications, vol. 71 no. 3s3, pp. 142-154 (2022), [Online] Available: https://doi.org/10.17762/msea.v71i3s3.355.
[12] R.F. Kadam, K.M.M. Al-Abrahemee. Neuro-fuzzy system for solving fuzzy singular perturbation problems. ” J. Interdiscip. Math., vol. 25, no. 5, pp. 1509-1524 (2022). [Online] Available: https://doi.org/10.1080/09720502.2022.2079229
[13] D.E. Abdulrasool, A.N. Alkiffai. Population growth equation by fuzzy common integral transforms. ” J. Interdiscip. Math., vol. 25, no. 6, pp. 1909-1918 (2022). [Online] Available: https://doi.org/10.1080/09720502.2022.2095960.
[14] R. Dhavaseelan, S. Jafari, M.R. Farahani and S. Broumi, “On single-valued co-neutrosophic graphs,” Neutrosophic Sets and Systems, Vol. 22, pp. 180-187 (2018). [Online] Available: https://doi.org/10.5281/zenodo.2159886.
[15] M.R. Farahani, J. E. Nápoles, M. Cancan, S. Jafari and C. Park, “Fuzzy stability in the sense of Hyers-Ulam-Rassias of a functional equation on quadratic forms.” J. Interdiscip. Math., vol. 26, no. 6, pp. 1355-1365 (2023). [Online] Available: https://doi.org/10.47974/jim-1633.

Views: 91Downloads: 5Citations: 0