Results 41 to 50 of about 10,094 (209)

On integro-differential equations in Banach spaces [PDF]

Pacific Journal of Mathematics, 1967
INTEGRO-DIFFERENTIAL EQUATIONS 101 2* Existence and uniqueness of a strong solution of the homogeneous problem (I)* Let A be a closed linear operator on a Banach space X to itself with domain &(A) dense in 36 and let @(3£) be the Banach algebra of all bounded linear transformations on X to itself.
openaire   +4 more sources

Modeling heterogeneity in large‐scale bioreactors using the method of moments with a truncated normal distribution

AIChE Journal, EarlyView.
ABSTRACT Large‐scale bioreactors in industrial bioprocesses pose challenges due to extracellular concentration gradients and intracellular heterogeneity. This study introduces a novel approach integrating the method of moments with truncated normal distributions (MM‐TND) to model intracellular heterogeneity while maintaining computational feasibility ...
Ittisak Promma, Marc G. Aucoin, Nasser Mohieddin Abukhdeir, Hector Budman   +3 more
wiley   +1 more source

Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability

Abstract and Applied Analysis, 2012
We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution,
Xueqin Lv, Yue Gao
doaj   +1 more source

On the perturbation of Volterra integro-differential equations

Applied Mathematics Letters, 2013
Abstract In this work, we will prove that every solution of a perturbed Volterra integro-differential equation can be approximated by a solution of the Volterra integro-differential equation.
Jung, Soon-Mo, Sevgin, Sebaheddin, Sevli, Hamdullah   +2 more
openaire   +5 more sources

Output feedback robust stabilization of distributed‐order systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of robust fast stabilization for a class of dynamical systems characterized by slow and ultra‐slow dynamics. The system model is approximated using a distributed‐order derivative of the measured output, which captures the influence of the control input, system dynamics, and external disturbances.
Aldo Jonathan Muñoz‐Vázquez, José Eduardo Carvajal‐Rubio, Guillermo Fernández‐Anaya, Juan Diego Sánchez‐Torres   +3 more
wiley   +1 more source

Approximate solution of the conformable integro-differential equations

Miskolc Mathematical Notes
In this paper, fractional linear and nonlinear integro-differential equations are solved by using an iteration method. Fractional derivative and fractional integral are considered in the conformable sense. The conformable integro-differential equation is
Handan Çerdik Yaslan
doaj   +1 more source

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

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
doaj   +1 more source

On linear and nonlinear integro-differential equations

Journal of Mathematical Analysis and Applications, 1986
Some applications of the decomposition method [the first author, Stochastic systems (1983; Zbl 0523.60056)] to integro-ordinary differential equations are presented.
Randolph Rach, George Adomian
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Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

Asian Journal of Control, EarlyView.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source