On the Lp-spaces techniques in the existence and uniqueness of the fuzzy fractional Korteweg-de Vries equation’s solution

Authors

F. Farahrooz, Payame Noor University
A. Ebadian, Payame Noor University
S. Najafzadeh, Payame Noor University

Abstract

In this paper, is proposed the existence and uniqueness of the solution of all fuzzy fractional differential equations, which are equivalent to the fuzzy integral equation. The techniques on L^P-spaces are used, defining the L^p_F F ([0; 1]) for 1≤P≤∞, its properties, and using the functional analysis methods. Also the convergence of the method of successive approximations used to approximate the solution of fuzzy integral equation be proved and an iterative procedure to solve such equations is presented.

Recommended Citation

Farahrooz, F.; Ebadian, A.; and Najafzadeh, S. (2017). On the Lp-spaces techniques in the existence and uniqueness of the fuzzy fractional Korteweg-de Vries equation’s solution, Applications and Applied Mathematics: An International Journal (AAM), Vol. 12, Iss. 2, Article 15.
Available at: https://digitalcommons.pvamu.edu/aam/vol12/iss2/15