

Nonlinear Fuzzy Volterra IntegroDifferential Equation of NTh Order:Analytic Solution and Existence and Uniqueness of Solution





نویسنده

Hooshangian L.

منبع

International Journal Of Industrial Mathematics  2019  دوره : 11  شماره : 1  صفحه:43 54



چکیده

Integrodifferential equations play a fundamental role in various elds of applied mathematics. the solutions of many engineering problems in general and mechanics and physics in particular, lead to this kind of equations. this paper focuses on the fuzzy volterra integrodiff erential equation of nth order of the secondkind with nonlinear fuzzy kernel and initial values. this equation is transformed to a nonlinear fuzzy volterra integral equation in multiintegrals by application of a certain analytic solution adapted on fuzzy nth order derivation under generalized hakuhara derivative. 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. an easilyfollowed algorithm is provided to illustrate the process. the application of the proposed method helps solving the equation on the basis of the adomian decomposition method under generalized hderivation. comparison of the exact and approximated solutions shows the least error.

کلیدواژه

General N−Th Order Derivative ,Hderivative ,Hdifference ,Fuzzy Nth Order IntegroDifferential Equation ,Existence And Uniqueness Theorem

آدرس

Islamic Azad University, Dezful Branch, Department Of Mathematics, ایران

پست الکترونیکی

l.hooshangian@gmail.com












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