Fuzzy Sets and Systems - Fuzzy Numbers
On the fuzzy initial value problem
Fuzzy Sets and Systems - Fuzzy Numbers
The Cauchy problem for fuzzy differential equations
Fuzzy Sets and Systems
Time domain methods for the solutions of N-order fuzzy differential equations
Fuzzy Sets and Systems
Numerical solutions of fuzzy differential equations
Fuzzy Sets and Systems
Fuzzy initial value problem for Nth-order linear differential equations
Fuzzy Sets and Systems
Nth-order fuzzy linear differential equations
Information Sciences: an International Journal
Note on "Numerical solutions of fuzzy differential equations by predictor-corrector method"
Information Sciences: an International Journal
Numerical methods forfuzzy differential inclusions
Computers & Mathematics with Applications
Towards fuzzy differential calculus part 3: Differentiation
Fuzzy Sets and Systems
Variation of constant formula for first order fuzzy differential equations
Fuzzy Sets and Systems
An algorithm for the solution of second order fuzzy initial value problems
Expert Systems with Applications: An International Journal
Series solution of the system of fuzzy differential equations
Advances in Fuzzy Systems
Analytical and numerical solutions of fuzzy differential equations
Information Sciences: an International Journal
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Present paper proposes a new technique to solve uncertain beam equation using double parametric form of fuzzy numbers. Uncertainties appearing in the initial conditions are taken in terms of triangular fuzzy number. Using the single parametric form, the fuzzy beamequation is converted first to an interval-based fuzzy differential equation. Next, this differential equation is transformed to crisp form by applying double parametric form of fuzzy number. Finally, the same is solved by homotopy perturbation method (HPM) to obtain the uncertain responses subject to unit step and impulse loads. Obtained results are depicted in terms of plots to show the efficiency and powerfulness of the methodology.