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 FP-transforms to solve a system of Canes blood of skin

* , ,

* Corresponding author · click or hover a name for details

pp. 1433–1439Vol. 29Issue 5-BMay 2026DOI: 10.47974/JIM-2530XML
Received:
01 Nov 2025
Published Online:
27 Jun 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2530
Pages:
1433–1439

Abstract

Partial differential equations are used profoundly in scientific and engineering fields. This paper presents the application of the FP-transform in solving FPDEs. The first and second-order FPD formulas have been derived using highly generalized H-differentiability definitions. The FP-transform is introduced first, and then, based on its results, a class of fuzzy partial differential equations is constructed. An application has also been presented in the last section to demonstrate that the intended method will work perfectly. 

Keywords

Subject Classifications

Primary 93A30Secondary 49K15

References

[1] Z. T. Abdulqader, S. H. Khalil, and M. H. Hadi, “Graph strongly by Qpre-closed set-in topological spaces,” Journal of Interdisciplinary Mathematics, vol. 25, no. 6, pp. 1829–1834 (2022).
[2] D. Dubois and H. Prade, “Towards fuzzy differential calculus part 1: Integration of fuzzy mappings,” Fuzzy Sets and Systems, vol. 8, no. 1, pp. 1–17 (1982).
[3] S. A. Elwakil, S. K. El-Labany, M. A. Zahran, and R. Sabry, “Modified extended tanh-function method for solving nonlinear partial differential equations,” Physics Letters A, vol. 299, no. 2–3, pp. 179–188 (2002).
[4] I. S. Ahmed, A. Al-Fayadh, H. H. Ebrahim, and L. S. Abdalbaqi, “Implementation of the neutrosophic sets in measurable space with respect to neutrosophic ring,” International Journal of Neutrosophic Science, vol. 25, no. 3, pp. 187–193 (2025), doi: 10.54216/IJNS.250317.
[5] A. Georgieva, “Double fuzzy Sumudu transform to solve partial Volterra fuzzy integro-differential equations,” Mathematics, vol. 8, no. 5, pp. 1–13 (2020), doi: 10.3390/math8050692.
[6] A. R. S. Juma, A. Al-Fayadh, S. P. Vijayalakshmi, and T. V. Sudharsan, “Upper bound on the third hankel determinant for the class of univalent functions using an integral operator,” Afrika Matematika, vol. 33, no. 2, p. 56 (2022).
[7] H. Gündoğdu and Ö. F. Gözükızıl, “Solving nonlinear partial differential equations by using Adomian decomposition method, modified decomposition method and Laplace decomposition method,” MANAS Journal of Engineering, vol. 5, no. 1, pp. 1–13 (2017).
[8] A. K. Haydar and R. H. Hassan, “Generalization of fuzzy Laplace transforms of fuzzy fractional derivatives about the general fractional order n−1 < β < n,” Mathematical Problems in Engineering, pp. 1–13 (2016), doi: 10.1155/2016/6380978.
[9] R. Rodríguez-López, “Comparison results for fuzzy differential equations,” Information Sciences, vol. 178, no. 6, pp. 1756–1779 (2008).
[10] N. A. Rahman and M. Z. Ahmad, “Fuzzy Sumudu transform for solving fuzzy partial differential equations,” J. Nonlinear Sci. Appl, vol. 9, pp. 3226–3239 (2016).
[11] C. Y. C. and F. H. R, “On new solutions of fuzzy differential Equations,” Chaos, Solitons & Fract, vol. 38, no. 1, pp. 112–119 (2008).
[12] I. S. Ahmed, A. Al-Fayadh, and H. H. Ebrahim, “Fuzzy σ–algebra and some related concepts,” AIP Conference Proceedings, vol. 2834, no. 1, p. 080147 (Dec. 2023).
[13] S. Salahshour and T. Allahviranloo, “Applications of fuzzy Laplace transforms,” Soft computing, vol. 17, no. 1, pp. 145–158 (2013).
[14] S. N. Al-Khafaji, A. Al-Fayadh, A. H. Hussain, and S. A. Abbas, “Toeplitz Determinant whose Its Entries are the Coefficients for Class of Non-Bazilevi ́ c Functions,” Journal of Physics: Conference Series, vol. 1660, no. 1, p. 012091 (Nov. 2020).
[15] S. Seikkala, “On the fuzzy initial value problem,” Fuzzy sets and systems, vol. 24, no. 3, pp. 319–330 (1987).
[16] T.-R. Hsu, Applied Engineering Analysis, Hoboken, NJ, USA: John Wiley & Sons, Inc., pp. 528 (2018).
[17] S. A. Al-Ameedee and A. J. Obaid, “New results and application of differential quasi subordinations for higher-order derivatives of meromorphic multivalent functions,” Journal of Interdisciplinary Mathematics, vol. 26, no. 4, pp. 643–650 (2023), doi: 10.47974/JIM-1483.
[18] H.-C. Wu, “The improper fuzzy Riemann integral and its numerical integration,” Information Sciences, vol. 111, pp. 109–137 (1998), doi: 10.1016/S0020-0255(98)00016-4.
[19] L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338–353 (1965).

Views: 23Downloads: 9Citations: 0