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Toward the existence and uniqueness of solutions of second-order fuzzy differential equations |
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| Authors: | T Allahviranloo M Barkhordari |
| Affiliation: | Department of Mathematics, Science and Research Branch Islamic Azad University, Hesarak, Poonak, Tehran 14778, Iran |
| Abstract: | In this paper the existence and uniqueness of solutions for second-order fuzzy differential equations with initial conditions under generalized H-differentiability is proved. To this end, the concept of second-order generalized differential equation is defined, which is based on an enlargement of the class of differentiable fuzzy mappings. |
| Keywords: | Second-order fuzzy differential equations Fuzzy number Fuzzy-valued function H-difference Generalized differentiability |
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