nonlinear integro-differential equation
Numerical Solution of a Nonlinear Integro-Differential Equation
... a nonlinear integro- differential equation modeling the temporal variation of the mean number density a(t) in the single-species annihilation reaction A + A → ∅ is ...the equation is divergent) ...
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Impulsive integral BVP for nonlinear integro-differential equation with monotone homomorphism in Banach spaces
... In this paper, we consider a class of integral boundary value problems for nonlinear third-order impulsive integro-differential equation with a monotone homomorphism in real Banach space. By employing ...
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Global existence and boundedness of solutions of a certain nonlinear integro differential equation of second order with multiple deviating arguments
... It is worth mentioning that the global existence and boundedness of solutions of equa- tion () have not yet been discussed in the literature. The aim of this paper is to give some sufficient conditions to guarantee the ...
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Existence and Analytic Approximation of Solutions of Duffing Type Nonlinear Integro Differential Equation with Integral Boundary Conditions
... An algorithm for approximating the analytic solution of Duffing type nonlinear integro- differential equation with integral boundary conditions is developed by applying the method of generalized ...
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CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE
... a nonlinear integro-differential equation of frac- tional order α ∈ (0, 1) with nonlocal conditions in Banach ...fractional differential operator is taken in the Caputo ...
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Numerical solution of nonlinear fractional integro-differential equation by Collocation method
... Trapezoidal method, Legendre spline interpolation method, Adomain decomposition method, Taylor series method, Pi- card’s iterative method, Variational principle method, Iterative methods, Laplace transform, Mellin ...
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Solutions for a class of nonlinear Volterra integral and integro differential equation using cyclic (φ,ψ,θ) contraction
... We establish the existence and uniqueness of solutions for a class of nonlinear Volterra integral and integro-differential equations using fixed-point theorems for a new variant of cyclic ( ϕ , ψ , θ ...
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Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
... the equation (1.1) is obtained by converting it to the equivalent nonlinear Fredholm integral equa- tion and then by numerical approaching the frac- tional integral the approximate solution of this ...
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Singularity analysis for a semilinear integro differential equation with nonlinear memory boundary
... Recently, Deng et al. did some good work on the models with flux at the boundary gov- erned by a nonlinear memory law in [, ]. Particularly, the authors studied the follow- ing model that has been formulated ...
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Extension of the differential transformation method to nonlinear differential and integro differential equations with proportional delays
... same equation was solved by Evans and Raslan [] using the Adomian decompo- sition method with complicated calculations of Adomian’s ...solved equation () using the Bezier control points method and ...
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A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation
... A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation.. Sirunya Thanompolkrang 1 and Duangkamol Poltem 1,2, *.[r] ...
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Nonlinear Fuzzy Volterra Integro-differential Equation of N-th Order: Analytic Solution and Existence and Uniqueness of Solution
... Volterra integro-differential equation of n − th order of the second-kind with nonlinear fuzzy kernel and initial ...This equation is transformed to a nonlinear fuzzy Volterra ...
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Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation
... the nonlinear Volterra integro-differential ...of equation, due to some properties of certain biorthogonal systems for the Banach spaces C0, 1 and C0, 1 2 ...
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Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations
... In this paper, we construct a new iterative method for solving nonlinear Volterra Integral Equation of the second kind, by approximating the Legendre polynomial basis. Error analysis is worked using ...
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A modified series solution method for fractional integro differential equations
... We proposed and illustrated an efficient modification of the power series for getting an approximate series solution of a nonlinear fractional integro-differential equation. The motive of ...
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A Study on Functional Fractional Integro-Differential Equations of Hammerstein type
... In this paper, we investigated on functional Hammerstein integro-differential equa- tions of fractional order. Here we also presented an approximate method to solve these equations. We proved convergence ...
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Existence, Uniqueness And Stability Solution Of Non-Linear System Of Integro-Differential Equation Of Volterra Type
... Butris [1] used both methods (Picard approximation method) and (Banach fixed point theorem) which were introduced by Rama [9]and[10] for studying some theorems in existence and uniqueness of system of non-linear ...
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Efficient algorithms for solving nonlinear Volterra integro differential equations with two point boundary conditions
... EFFICIENT ALGORITHMS FOR SOLVING NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH TWO POINT BOUNDARY CONDITIONS LE.. GAREY and R.E.[r] ...
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Exchanged Nonlinear Third Order Differential Equation Ordinary Differential Equation
... Ordinary differential equations function we investigate the asymptotical stability and bounded ness of solution or 3rd order nonlinear differential ...of nonlinear 3rd order ...
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Solution Of Integro-Differential Equation Of The Second Order With The Operators
... of integro-differential equations of the second order with the operators by using both method Picard approximation and Banach fixed point theorem which are given in [ 5 ] and [ 7 ] respectively and the ...
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