The Solution of the Intuitionistic Fuzzy Linear Fractional Partial Differential Equations Using the Homotopy Analysis Method
-
2024-07-10 https://doi.org/10.14419/30533194 -
Caputo fractional derivative, Generalized intuitionistic fuzzy derivative, Hukuhara difference, Intuitionistic Fuzzy fractional differential equation, The homotopy analysis method. -
Abstract
The present work is devoted to using an analytic approach, namely the homotopy analysis method, to solve the Fractional Partial Differential Equations with intuitionistic fuzzy initial data under generalized intuitionistic fuzzy Caputo derivative.
-
References
- A. Allahviranloo, A. Armandn and Z. Gouyandeh, Fuzzy fractional differential equations under generalized fuzzy Caputo derivative, J. Intell. Fuzzy Syst., 26, (2014), 1481–1490 .
- K. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and Systems, 20, 1, (1986), 87–96.
- K. Oufkir, A. El Mfadel, S. Melliani, M. Elomari and H. Sadiki, On fractional evolution equations with an extended psi-fractional derivative, Filomat,
- , 21, (2023), 7231–7240.
- M. Dehghan, J. Manafian and A. Saadatmandi, Thesolution of Linear Fractional Partial Differential Equations Using the Homotopy Analysis Method, Z.
- Naturforsch, 65, (2010), 935-949.
- M. Elomari, S. Melliani and L.S. Chadli, Solution of intuitionistic fuzzy fractional differential equations, Annals of Fuzzy Mathematics and Informatics,
- , 3, (2017), 379–391 .
- S. Melliani, M. Elomari, L.S. Chadli and R. Ettoussi, Solving the Intuitionistic fuzzy fractional equation by means of the homotopy analysis method, Journal of Nonlinear Analysis and Application., 2, (2018), 106–116.
- S. Melliani, M. Elomari, L.S. Chadli and R. Ettoussi, Intuitionistic fuzzy metric space, Notes IFS., 21, 1, (2015), 43–53.
- S. Melliani, M. Elomari, L.S.Chadli and R. Ettoussi, Extension of Hukuhara difference in intuitionistic fuzzy set theory, Notes IFS., 21, 4, (2015),
- –47.
- S.P. Mondal and T.K. Roy, Generalized Intuitionistuc Fuzzy Laplace Transform and it application in electrical circuit, TWMS J. App. Eng. Math., 5, 1, (2015), 30-45.
- D. Takaci and A. Takaci, On The Solution Of Fuzzy Fractional Differential Equation, TWMS J. App. Eng. Math., 4, 1, (2014), 98-103.
-
Downloads
-
How to Cite
SADIKI, H., Khadija Oufkir, M'hamed Elomari, & Idris Bakhadach. (2024). The Solution of the Intuitionistic Fuzzy Linear Fractional Partial Differential Equations Using the Homotopy Analysis Method. International Journal of Engineering & Technology, 13(2), 252-261. https://doi.org/10.14419/30533194