Results 81 to 90 of about 14,741 (209)

Fundamental operator functions of integro-differential operators under spectral or polynomial boundedness [PDF]

Ufa Mathematical Journal, 2020
Summary: We study a Cauchy problem for a degenerate higher order integro-differential equation in Banach spaces. The operator kernel of the integral part of the equation is a linear combination of the operator coefficients of its differential part, which corresponds to the physical meaning of some technological processes. The solution is constructed in
openaire   +1 more source

On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians

Annalen der Physik, Volume 538, Issue 1, January 2026.
Stochastic Hamiltonian formulations of open quantum dynamics are revisited, highlighting their roots in stochastic calculus. The connections among stochastic Hamiltonians, stochastic Schrödinger equations, and master‐equation approaches are made explicit.
Pietro De Checchi, Federico Gallina, Barbara Fresch, Giulio G. Giusteri   +3 more
wiley   +1 more source

Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators

Abstract and Applied Analysis, 2011
The paper is devoted to integro-differential operators, which correspond to nonlocal reaction-diffusion equations considered on the whole axis. Their Fredholm property and properness will be proved. This will allow one to define the topological degree.
N. Apreutesei, V. Volpert
doaj   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.
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

On Existence of Solutions of Impulsive Nonlinear Functional Neutral Integro-Differential Equations With Nonlocal Condition

Demonstratio Mathematica, 2015
In the present paper, we investigate the existence, uniqueness and continuous dependence of mild solutions of an impulsive neutral integro-differential equations with nonlocal condition in Banach spaces. We use Banach contraction principle and the theory
Jain Rupali S., Dhakne M. B.
doaj   +1 more source

Trace Formulae for Matrix Integro-Differential Operators

Zeitschrift für Naturforschung A, 2012
In this paper, we consider the eigenvalue problems for matrix integro-differential operators with separated boundary conditions on the finite interval and find new trace formulae for the matrix integro-differential ...
openaire   +1 more source

INTEGRO-DIFFERENTIAL EQUATIONS EMBODYING POWERS OF A DIFFERENTIAL OPERATOR

Vestnik of Samara University. Natural Science Series, 2019
We establish solvability and correctness criteria for two Fredholm type linear integro-differential operators B2, B4 encompassing up to second and fourth powers, respectively, of a differential operator A with aknown inverse I = A 1. We also derive explicit solution formulae to corresponding initial and boundary value problems by using the inverse of the
I. N. Parasidis, E. Providas
openaire   +2 more sources

Neural Controlled Differential Equation and Its Application in Pharmacokinetics and Pharmacodynamics

CPT: Pharmacometrics &Systems Pharmacology, Volume 15, Issue 1, January 2026.
Neural controlled differential equations (NCDE), driven by control variables, are capable to learn the discontinuous dynamics in the PK and PD datasets. ABSTRACT With the recent advances in machine learning (ML) and artificial intelligence (AI), data‐driven modeling approaches for pharmacokinetics (PK) and pharmacodynamics (PD) have gained popularity ...
Zhisong Wu, Pingyao Luo, Rong Chen, Yaou Liu, Weizhe Jian, Tianyan Zhou   +5 more
wiley   +1 more source

On the stability of a fractional-order differential equation with nonlocal initial condition

Electronic Journal of Qualitative Theory of Differential Equations, 2008
The topic of fractional calculus (integration and differentiation of fractional-order), which concerns singular integral and integro-differential operators, is enjoying interest among mathematicians, physicists and engineers. In this work, we investigate
Ahmed El-Sayed, Sheren Ahmed Abd El-Salam   +1 more
doaj   +1 more source

On a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions by using three operators

Alexandria Engineering Journal, 2020
We investigate the existence of solutions for a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions.
D. Baleanu, S. Etemad, Sh. Rezapour
doaj   +1 more source