Results 51 to 60 of about 42,874 (261)

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

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

Computational methods and dynamical analysis for studying ( 1 + 1 ) $(1 + 1)$ dimensional functional equations of mixed integro-differential type

Boundary Value Problems
In the present paper, the Fibonacci collocation method is implemented to solve ( 1 + 1 ) $(1 + 1)$ dimensional difference equations of mixed integro-differential type.
Amr M. S. Mahdy, Mohamed A. Abdou, Doaa S. Mohamed   +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
openaire   +3 more sources

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

New applications of the two variable (G′/G, 1/G)-expansion method for closed form traveling wave solutions of integro-differential equations

Journal of Ocean Engineering and Science, 2019
Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.
M. Mamun Miah, H.M. Shahadat Ali, M. Ali Akbar, Aly R. Seadawy   +3 more
doaj   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary, Manigandan Murugesan, Hami Gündoğdu   +2 more
wiley   +1 more source