Title of article
Nonlinear Fuzzy Volterra Integro-differential Equation of N-th Order: Analytic Solution and Existence and Uniqueness of Solution
Author/Authors
Hooshangian, L. Department of Mathematics - Dezful Branch, Islamic Azad University, Dezful, Iran
Pages
12
From page
43
To page
54
Abstract
This paper focuses on the fuzzy Volterra integro-differential equation of nth order of the second-kind with nonlinear fuzzy kernel and initial values. The derived integral equations are solvable, the solutions of which are unique under certain conditions. The existence and uniqueness of the solutions are investigated in a theorem and an upper boundary is found for solutions. Comparison of the exact and approximated solutions shows the least error.
Keywords
Existence and Uniqueness theorem , Fuzzy n-th Order Integro-differential Equation , H-difference , H-derivative , General n−th order derivative
Journal title
Astroparticle Physics
Serial Year
2019
Record number
2438585
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