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 LP-spaces are used, defining the LpF 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.
Farahrooz, F.; Ebadian, A.; and Najafzadeh, S.
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,
2, Article 15.
Available at: https://digitalcommons.pvamu.edu/aam/vol12/iss2/15