Abhishek Kumar Singh

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Publications (10)

• Modified least squares method and a review of its applications in machine learning and fractional differential/integral equations
  arXiv 2024 DOI: 10.48550/arXiv.2405.00382
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• A modified variable-order fractional SIR model to predict the spread of COVID-19 in India
  Mathematical Methods in the Applied Sciences 2023 DOI: 10.1002/mma.7655
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• An algorithm to estimate parameter in Müntz-Legendre polynomial approximation for the numerical solution of stochastic fractional integro-differential equation
  Journal of Applied Mathematics and Computing 2023 DOI: 10.1007/s12190-023-01850-2
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• Difference methods for stochastic space fractional diffusion equation driven by additive space–time white noise via Wong–Zakai approximation
  Journal of Mathematical Chemistry 2023 DOI: 10.1007/s10910-022-01408-w
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• High order approximation to Caputo derivative on graded mesh and time-fractional diffusion equation for non-smooth solutions
  arXiv 2023 DOI: 10.48550/arXiv.2309.13316
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• Learning parameters of a system of variable order fractional differential equations
  Numerical Methods for Partial Differential Equations 2023 DOI: 10.1002/num.22796
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• Data-Driven Discovery of Time Fractional Differential Equations
  Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2022 DOI: 10.1007/978-3-031-08754-7_8
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• Analytic and Numerical Solutions of Space-Time Fractional Diffusion Wave Equations with Different Fractional Order
  Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2021 DOI: 10.1007/978-3-030-77961-0_34
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• Wavelet collocation method based on Legendre polynomials and its application in solving the stochastic fractional integro-differential equations
  Journal of Computational Science 2021 DOI: 10.1016/j.jocs.2021.101342
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• Uncertainty quantification in fractional stochastic integro-differential equations using legendre wavelet collocation method
  Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2020 DOI: 10.1007/978-3-030-50417-5_5
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