Abstract
Abstract
We consider initial value problems for differential equations of fractional order with uncertainty and present the theory and some numerical methods to solve such type of problems under generalized differentiability conditions. The main tool is Banach fixed point theorem. Also we study the numerical approximation of the solutions of a fuzzy fractional initial value problem by using product trapezoidal and product rectangle formulas; the convergence of the numerical scheme is analyzed rigorously. Finally some numerical examples are provided to illustrate the applicability and usefulness of the obtained results.
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