The approximate lag and anticipating synchronization between two unidirectionally coupled Hindmarsh-Rose neurons with uncertain parameters by Bin Zhen, Ya-Lan Li, Li-Jun Pei, Li-Jun Ouyang

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Properties of the solution of some multipoint problems for integro-differential equation of Barbashin type by Nurmuhammet Gurbanmammedov, Parahat Gurbanmammedov, Ogulhan Haydarova

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Numerical Treatment of Abel’s Integral Equations Via Chelyshkov Wavelets Collocation Technique by Youssef Esmaiel, Magdi El-Azab, Galal El-Baghdady

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On the Solutions of Okubo-Type Systems by Galina Filipuk, Alberto Lastra

“…It solves a Volterra integral equation with the kernel expressed in terms of the solutions of a reduced Okubo-type system of smaller dimension. …”
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Existence and Uniqueness of the Solution for a Time-Fractional Diffusion Equation with Robin Boundary Condition by Jukka Kemppainen

“…Then the original problem may be reduced to a Volterra integral equation of the second kind associated with a compact operator. …”
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An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Metho... by Rezvan Ghoochani-Shirvan, Jafar Saberi-Nadjafi, Morteza Gachpazan

“…The result of the theorem will be used to solve a weakly singular Volterra integral equation later on.…”
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Solution to the Problem of a Mass Traveling on a Taut String via Integral Equation by M. Ferretti, A. Luongo

“…The equations are rearranged in the form of a unique Volterra integral equation in the reactive force, which is solved numerically. …”
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Picard Successive Approximation Method for Solving Differential Equations Arising in Fractal Heat Transfer with Local Fractional Derivative by Ai-Min Yang, Cheng Zhang, Hossein Jafari, Carlo Cattani, Ying Jiao

“…An approximate solution to one-dimensional local fractional Volterra integral equation of the second kind, which is derived from the transformation of Fourier flux equation in discontinuous media, is considered. …”
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Numerical Solutions of Duffing Van der Pol Equations on the Basis of Hybrid Functions by M. Mohammadi, A. R. Vahidi, T. Damercheli, S. Khezerloo

“…First, we convert nonlinear D-VdP equation to a nonlinear Volterra integral equation of the second kind (VIESK) using integration, and then, we approximate it with the hybrid Legendre polynomials and block-pulse function (HLBPFs). …”
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Phase-lag mixed integral equation of a generalized symmetric potential kernel and its physical meanings in (3+1) dimensions by Azhar Rashad Jan

“…By applying the properties of fractional calculus, it is possible to get an integro-differential Fredholm-Volterra integral equation (Io-DF-VIE). The kernel employs the generalized Weber-Sonien integral formula by utilizing polar coordinates. …”
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The Study for Synchronization between Two Coupled FitzHugh-Nagumo Neurons Based on the Laplace Transform and the Adomian Decomposition Method by Bin Zhen, Zigen Song

“…Different from other researches, the synchronization error system is expressed as sets of Volterra integral equations based on the convolution theorem in the Laplace transform. …”
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On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation by Hameed Husam Hameed, Z. K. Eshkuvatov, Anvarjon Ahmedov, N. M. A. Nik Long

“…We develop the Newton-Kantorovich method to solve the system of 2×2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. …”
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On Ćirić-Prešić Operators in Metric Spaces by Narongsuk Boonsri, Satit Saejung, Kittipong Sitthikul

“…We also discuss the convergence problems of recursive real sequences and the Volterra integral equations as an application of our result.…”
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Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes by C. Connell McCluskey

“…Key theorems, including asymptotic smoothness and uniform persistence,are proven by reformulating the system as a system of Volterra integral equations. Thebasic reproduction number $\mathcal{R}_{0}$ is calculated. …”
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The Cardinal Spline Methods for the Numerical Solution of Nonlinear Integral Equations by Xiaoyan Liu, Jin Xie, Zhi Liu, Jiahuan Huang

“…In this study, an effective technique is presented for solving nonlinear Volterra integral equations. The method is based on application of cardinal spline functions on small compact supports. …”
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Euler Operational Matrix of Integration and Collocation Method for Solving Functional Integral Equations by Sohrab Bazm, Fatemeh Pahlevani

“…In this paper, the functional Volterra integral equations of the Hammerstein type are studied. …”
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On the Complex Inversion Formula and Admissibility for a Class of Volterra Systems by Ahmed Fadili, Hamid Bounit

“…We first present results on the validity of the inverse formula of the Laplace transform for the resolvent families associated with scalar Volterra integral equations of convolution type in Banach spaces, which extends and improves the results in Hille and Philllips (1957) and Cioranescu and Lizama (2003, Lemma 5), respectively, including the stronger version for a class of scalar Volterra integrodifferential equations of convolution type on unconditional martingale differences UMD spaces, provided that the leading operator generates a C0-semigroup. …”
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