In this paper, we deal with a wavelet operational method based on Haar wavelet to solve the fuzzy fractional differential equation in the Caputo derivative sense. To this end, we derive the Haar wavelet operational matrix of the fractional order integration. The given approach provides an efficient method to find the solution and its upper bond error. To complete the discussion, the convergence theorem is subsequently expressed in detail. So far, no paper has used the Harr wavelet method using generalized difference and fuzzy derivatives, and this is the first time we have done so. Finally, the presented examples reflect the accuracy and efficiency of the proposed method.
Khakrangin, Sakineh; Allahviranloo, Tofigh; Mikaeilvand, Nasser; and Abbasbandy, Saeid
Numerical Solution of Fuzzy Fractional Differential Equation By Haar Wavelet,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 16,
1, Article 14.
Available at: https://digitalcommons.pvamu.edu/aam/vol16/iss1/14