A New Approach to Fuzzy Initial Value Problem by Improved Euler Method

A comparison between numerical methods for solving Fuzzy fractional differential equations

“…It has signi cant advantage as it provides an analytical approximation to a wide range of linear and nonlinear di erential equations. The solutions retrieve from the adopted methods, recovers the previous results of Duraisamy and Usha [25] and improved Euler's type methods (Method 1 and Method 2) [19] as the special case for α = .…”

“…This is a basic explicit method for numerical integration of ordinary di erential equations with a given initial value and often serves as the basis to construct more complicated methods. This method has been found in the papers of Shorki [18] and Chakraverty et al [19].…”

On the solution of fuzzy differential equations by Fuzzy Sumudu Transform

“…Fuzzy theory plays an important role in modeling dynamical systems under uncertainty. Fuzzy linear di erential equations are one of the simplest fuzzy di erential models which have signi cant importance in many applications [18][19][20][21][22][23][24][25][26]. Here fuzzy di erential equations are considered under generalized Hukuhara di erentiability.…”

Numerical Simulations for Solving Fuzzy Fractional Differential Equations by Max-Min Improved Euler Methods

“…Obtained results by Method 1 Method 2 are tabulated in Table 5 and 6 for different values of r . Let us consider another nonlinear triangular FIVP, also studied in [29], for fractional order.…”

“…In the present paper, an interpretation for fuzzy fractional differential equations has been proposed. Essentially, this work is generalization and extension of Method 1 and Method 2 Improved Euler Method in paper of Smita and Chakraverty [29] to fractional order. Before Smita and Chakraverty, many other authors have made considerable efforts to improve an Euler method, and using it as the stepping-stone of numerical methods for solving initial value problems in differential equations.…”