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   Articles with "fractional volterra" as a keyword



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Solvability of the fractional Volterra‐Fredholm integro differential equation by hybridizable discontinuous Galerkin method

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recommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5821

Abstract: This article proves the existence and uniqueness of the solution obtained by the hybridizable discontinuous Galerkin (HDG) method of the fractional Volterra‐Fredholm integro differential equation. The method based on local solvers and transmission condition is… read more here.

Keywords: discontinuous galerkin; volterra fredholm; method; equation ... See more keywords
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Fractional Volterra LMS algorithm with application to Hammerstein control autoregressive model identification

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recommendations! Published in 2018 at "Neural Computing and Applications"

DOI: 10.1007/s00521-018-3362-z

Abstract: In the present study, strength of fractional-order adaptive signal processing through fractional Volterra least mean square (FV-LMS) algorithm is exploited for Hammerstein nonlinear control autoregressive model (HN-CAR) identification. The FV-LMS method is a generalization of… read more here.

Keywords: autoregressive model; fractional volterra; control autoregressive; model ... See more keywords
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On the initial value problem for fractional Volterra integrodifferential equations with a Caputo–Fabrizio derivative

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recommendations! Published in 2021 at "Mathematical Modelling of Natural Phenomena"

DOI: 10.1051/mmnp/2021010

Abstract: In this paper, a time-fractional integrodifferential equation with the Caputo–Fabrizio type derivative will be considered. The Banach fixed point theorem is the main tool used to extend the results of a recent paper of Tuan… read more here.

Keywords: time; value problem; initial value; fractional volterra ... See more keywords
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Numerical solution of fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions via Chebyshev wavelet method

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recommendations! Published in 2019 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2018.1521517

Abstract: ABSTRACT In this paper, the fourth kind Chebyshev wavelets collocation method (FCWM) is applied for solving a class of fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions. Fractional integral formula of a single Chebyshev wavelet… read more here.

Keywords: chebyshev; fractional volterra; boundary conditions; solution ... See more keywords
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Modular Stability Analysis of a Nonlinear Stochastic Fractional Volterra IDE

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recommendations! Published in 2022 at "Algorithms"

DOI: 10.3390/a15120459

Abstract: We define a new control function to approximate a stochastic fractional Volterra IDE using the concept of modular-stability. read more here.

Keywords: modular stability; stochastic fractional; fractional volterra; volterra ide ... See more keywords
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Solving Fractional Volterra-Fredholm Integro-Differential Equations via A** Iteration Method

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recommendations! Published in 2022 at "Axioms"

DOI: 10.3390/axioms11090470

Abstract: In this article, we develop a faster iteration method, called the A** iteration method, for approximating the fixed points of almost contraction mappings and generalized α-nonexpansive mappings. We establish some weak and strong convergence results… read more here.

Keywords: fredholm integro; fractional volterra; iteration method; volterra fredholm ... See more keywords