Results 61 to 70 of about 813 (186)

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

Segmentasi Iris Mata Penderita Penyakit Ginjal Dengan Metode Hough Transform Dan Integro-Differential Operator

Cogito Smart Journal, 2017
Iris merupakan bagian penting pada mata yang mempunyai pola yang dapat mendeskripsikan kondisi organ tubuh, mengetahui kondisi psikologi, dan membedakan tiap individu.
Maria Angelina Sumampouw Tawas, Michella Destalia Kalangi, Reymon Rotikan   +2 more
doaj  

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

Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (
Kailasavalli S., Baleanu D., Suganya S., Mallika Arjunan M.   +3 more
doaj   +1 more source

Analyticity for Solution of Integro-Differential Operators

, 2020
We prove that for a certain class of kernels $K(y)$ that viscosity solutions of the integro-differential equation $$ \int_{\mathbb R^n} (u(x+y) - 2 u(x) + u(x-y)) K(y) dy = f(x,u(x)) $$ are locally analytic if $f$ is an analytic function. This extends the result of Albanese, Fiscella, Valdinoci that such solutions belong to certain Gevrey classes.
openaire   +2 more sources

Degenerate Integro-Differential Equations of Convolution Type in Banach Spaces

Известия Иркутского государственного университета: Серия "Математика", 2016
We consider an integro-differential equation in convolutions of a special kind in Banach spaces with the Fredholm operator in the main part. The article concerns with the problem of unique solvability of the Cauchy-problem for this equation in the class ...
M. Falaleev
doaj  

On the Convergence of the Approximate Solution to the Optimization Problem for Oscillatory Processes

Қарағанды университетінің хабаршысы. Математика сериясы
This article addresses the non-linear optimization problem of oscillatory processes governed by partial integro-differential equations involving a Fredholm integral operator. A distinctive feature of the problem is that both the objective functional and
E.F. Abdyldaeva, A. Kerimbekov, T.K. Yuldashev, M. Kamali   +3 more
doaj   +1 more source

On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations

Boundary Value Problems, 2017
By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional derivative.
Dumitru Baleanu, Asef Mousalou, Shahram Rezapour   +2 more
doaj   +1 more source