Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation [PDF]
arXiv, 2017 Using the $\psi-$Hilfer fractional derivative, we present a study of the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the fractional Volterra integral-differential equation by means of fixed-point method.
arxiv
Game theory with integral equations as state dynamics [PDF]
arXiv, 2019 We formulate and analyze game-theoretic problems for systems governed by integral equations. For Volterra integral equations, we obtain and prove necessary and sufficient conditions for linear-quadratic problems, and for problems that are linear-quadratic in the control.
arxiv
On particle-size distribution of convex similar bodies in $\mathbb{R}^3$ [PDF]
arXiv, 2019 We give an explicit form of particle-size distributions of convex similar bodies for random plane and random line, which naturally generalize famous Wicksell's corpuscle problem. The results are achieved by applying the Method of Model Solutions for solving well-known Santal\'o's integral equations. We also give a partial result related to the question
arxiv
Optimal control of second-order integral equations [PDF]
arXiv, 2019 We analyze optimal control problems for multiple Fredholm and Volterra integral equations. These are non Pontryaginian optimal control problems, i.e. an extremum principle of Pontryagin type does not hold. We obtain first order necessary conditions for optimality, and second order necessary and sufficient conditions.
arxiv
Uniqueness of solutions to an Abel type nonlinear integral equation on the half line
Open Mathematics, 2012 Mydlarczyk Wojciech
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On the characteristic equation λ = α1 + (α2 + α3λ)e(-λ) and its use in the context of a cell population model. [PDF]
J Math Biol, 2016 Diekmann O, Getto P, Nakata Y.
europepmc +1 more source
Generalizations of the 'Linear Chain Trick': incorporating more flexible dwell time distributions into mean field ODE models. [PDF]
J Math Biol, 2019 Hurtado PJ, Kirosingh AS.
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A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels. [PDF]
HeliyonSadri K +4 more
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