Results 121 to 130 of about 3,130,595 (306)

A spectral collocation method for stochastic Volterra integro-differential equations and its error analysis

open access: yesAdvances in Differential Equations, 2019
Volterra integro-differential equations arise in the modeling of natural systems where the past influence the present and future, for example pollution, population growth, mechanical systems and financial market. Furthermore, as many real-world phenomena
S. Khan, M. Ali, Ishtiaq Ali
semanticscholar   +1 more source

Intercropping Broccoli‐Basil Reduces Aphid Growth: Spatio‐Temporal Modelling Across Scales and Lab Experiments

open access: yesJournal of Sustainable Agriculture and Environment, Volume 4, Issue 4, December 2025.
ABSTRACT Shifting from conventional to sustainable agriculture demands well‐designed experiments and robust analytical models to evaluate agroecological system performance and resilience. We modelled aphid population dynamics in broccoli monocultures and broccoli‐basil intercrops using spatio‐temporal approaches, informed by laboratory experiments on ...
Rayana M. R. Carvalho   +3 more
wiley   +1 more source

Robust Bounds on the Eigenvalues of Linear Systems With Delays and Their Applications in Stability Analysis

open access: yesInternational Journal of Robust and Nonlinear Control, Volume 35, Issue 16, Page 6636-6651, 10 November 2025.
ABSTRACT We review some known bounds on the eigenvalues of a matrix and use similar techniques to derive bounds for the class of nonlinear eigenproblems and, as a special case, the eigenvalues for LTI systems with delays. We present two classes of results.
Erik I. Verriest
wiley   +1 more source

Bounded solutions of a Volterra equation

open access: yesJournal of Differential Equations, 1978
This equation arises in a number of applications, e.g., in the study of the partial differential equation of heat conduction. In [l] Levin obtained an explicit bound on the solutions of (1.1). W e are here going to extend this result. Our assumptions concerning the kernel a and the function f are the same as Levin used, namely, H(a): The function a: [0,
openaire   +2 more sources

A New Application of Shehu Transform for Handling Volterra Integral Equations of First Kind

open access: yesInternational Journal of Research in Advent Technology, 2019
Many problems of thermodynamics, nuclear reactor theory, chemotherapy and electrical systems have been described in the form of Volterra integral equations.
Sudhanshu Aggarwal   +2 more
semanticscholar   +1 more source

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

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.
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   +2 more
wiley   +1 more source

On the linearization of Volterra integral equations

open access: yesJournal of Mathematical Analysis and Applications, 1968
Volterra integral equations linearization, discussing integral kernels, integrodifferential equations and reactor ...
openaire   +3 more sources

Solution of fractional Volterra–Fredholm integro-differential equations under mixed boundary conditions by using the HOBW method

open access: yesAdvances in Differential Equations, 2019
A new approximate technique is introduced to find a solution of FVFIDE with mixed boundary conditions. This paper started from the meaning of Caputo fractional differential operator. The fractional derivatives are replaced by the Caputo operator, and the
Mohamed R. Ali   +3 more
semanticscholar   +1 more source

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