Schauder estimates for solutions of linear parabolic integro-differential equations
, 2014 We prove optimal pointwise Schauder estimates in the spatial variables for solutions of linear parabolic integro-differential equations. Optimal H\"older estimates in space-time for those spatial derivatives are also obtained.Comment: Submitted, 26 ...
Jin, Tianling, Xiong, Jingang
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A New Approach for Solving a New Class of Nonlinear Optimal Control Problems Generated by Atangana-Baleanu- Caputo Variable Order Fractional Derivative and Fractional Volterra-Fredholm Integro-Differential Equations [PDF]
, 2023 Fateme Ghomanjani
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A general approach to the linear stability of viscoelastic shear‐flows
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
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On the behavior of the solutions for certain neutral delay integro-differential equations [PDF]
E-Journal of Analysis and Applied MathematicsSome results are given on the behavior of solutions of scalar linear and constant coefficient neutral delay integro-differential equations. These results are obtained using two different real roots of the relevant characteristic equation.
Ali Fuat Yeniçerioglu
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Effects of landscape fragmentation on floodplain fishes as revealed by species–habitat networks
Conservation Biology, Volume 40, Issue 1, February 2026.Abstract How species interact with habitat patches is influenced primarily by habitat configuration (e.g., connectivity) and species’ functional traits. As levels of fragmentation increase, identifying the intricate connections between these components is crucial for biodiversity conservation.
Chen Zhang +8 more
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Numerical studies for solving fractional integro-differential equations
Journal of Ocean Engineering and Science, 2018 In this paper, we give a new numerical method for solving a linear system of fractional integro-differential equations. The fractional derivative is considered in the Caputo sense.
A.M.S. Mahdy
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Some solution of the fractional iterative integro-differential equations [PDF]
, 2018 In this article, we focus to some classes of fractional iterative integro-differential equations. Firstly, we interested of the fractional iterative integro-differential equations including derivatives and establish the existence and uniqueness solutions
Damag, F. H. M., Kilicman, Adem
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Hybrid functions approach to solve a class of Fredholm and Volterra integro-differential equations
, 2019 In this paper, we use a numerical method that involves hybrid and block-pulse functions to approximate solutions of systems of a class of Fredholm and Volterra integro-differential equations.
Bhalekar, Sachin +2 more
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Mathematical Modeling of Measured Recalescence Velocities
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 977-988, 30 January 2026.ABSTRACT A moving‐boundary problem of synchronous directional and volumetric solidification in undercooled liquid drops is formulated and solved. Directional solidification is caused by the temperature gradient along the spatial direction, whereas volumetric growth of new phase elements is caused by the melt undercooling ahead of the phase transition ...
Dmitri V. Alexandrov +3 more
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Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations
Axioms, 2019 Different results regarding different integro-differentials are usually not properly generalized, as they often do not satisfy some of the constraints.
Shin Min Kang +3 more
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