Results 1 to 10 of about 10,386 (208)

Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals

Nonautonomous Dynamical Systems, 2016
In [10] the first author used Lyapunov functionals and studied the exponential stability of the zero solution of finite delay Volterra Integro-differential equation. In this paper, we use modified version of the Lyapunov functional that were used in [10]
Raffoul Youssef, Rai Habib
doaj   +1 more source

Nonlinear integro-differential equations

Journal of Mathematical Extension, 2010
Summary: The continuous Legendre wavelets constructed on the interval \([0,1]\) are used to solve the nonlinear Fredholm integrodifferential equation. The nonlinear part of integro-differential is approximated by Legendre wavelets, and the nonlinear integro-differential is reduced to a system of nonlinear equations.
S. Mahdavi∗, M. Tavassoli Kajani
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An integro-differential equation [PDF]

Proceedings of the American Mathematical Society, 1980
The vector equation \[ x ′ ( t ) = A ( t ) x ( t ) + ∫ 0 t C ( t , s ) D ( x ( s ) )
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A method for solving nonlinear Volterra’s population growth model of noninteger order

Advances in Difference Equations, 2017
Many numerical methods have been developed for nonlinear fractional integro-differential Volterra’s population model (FVPG). In these methods, to approximate a function on a particular interval, only a restricted number of points have been employed.
D Baleanu, B Agheli, M Adabitabar Firozja, M Mohamed Al Qurashi   +3 more
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A hybrid technique for approximating the solution of fractional order integro differential equations

Partial Differential Equations in Applied Mathematics, 2023
In this article, we present an effective approach for solving nonlinear fractional order integro-differential equations. The fractional order derivative will be in the Caputo sense.
Noor A. Abdulhameed, Osama H. Mohammed, Ahmed A. Yousif   +2 more
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New Numerical Results on Existence of Volterra–Fredholm Integral Equation of Nonlinear Boundary Integro-Differential Type [PDF]

, 2023
Hawsar HamaRashid, H. M. Srivastava, Mudhafar Hama, Pshtiwan Othman Mohammed, Eman Al-Sarairah, Musawa Yahya Almusawa   +5 more
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A Procedure for Factoring and Solving Nonlocal Boundary Value Problems for a Type of Linear Integro-Differential Equations

Algorithms, 2021
The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions.
Efthimios Providas, Ioannis Nestorios Parasidis   +1 more
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Qualitative Study for a Delay Quadratic Functional Integro-Differential Equation of Arbitrary (Fractional) Orders [PDF]

, 2022
A‎. ‎M‎. ‎A‎. El-Sayed, Eman M. A. Hamdallah, Malak M. S. Ba-Ali   +2 more
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Solving system of integro differential equations using discrete adomian decomposition method

Journal of Taibah University for Science, 2019
In this paper, we propose a new numerical method for solving system of integro-differential equations featuring Volterra and Fredholm integrals. The proposed method depends on the successful application of the Discrete Adomian Decomposition Method (DADM)
H. O. Bakodah, M. Al-Mazmumy, S. O. Almuhalbedi   +2 more
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Hyers–Ulam Stability Analysis of Nonlinear Volterra–Fredholm Integro-Differential Equation with Caputo Derivative

Fractal and Fractional
The main aim of this study is to examine the Hyers–Ulam stability of fractional derivatives in Volterra–Fredholm integro-differential equations using Caputo fractional derivatives.
Govindaswamy Gokulvijay, Salah Boulaaras, Sriramulu Sabarinathan   +2 more
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