Abstract
Stochastic Cauchy problems with fractional and local differential operators were considered. Different numerical technique including the Atangana–Seda numerical scheme and predictor–corrector were used to derive numerical solutions to these types of Cauchy problems. For each case, a detailed investigation of error analysis was presented.
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References
Atangana A, Araz SI (2021) New numerical scheme with Newton polynomial: theory, methods, and applications. Academic, Cambridge. 978-0323854481
Mekkaoui T, Atangana A, İğret Araz S (2021) Predictor-corrector for non-linear differential and integral equation with fractal-fractional operators. Eng Comput 37:2359–2368
Atangana A (2020) Extension of rate of change concept: from local to nonlocal operators with applications. Results Phys 103515
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Atangana, A., İgret Araz, S. (2022). Numerical Scheme for a General Stochastic Equation with Classical and Fractional Derivatives. In: Fractional Stochastic Differential Equations. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-19-0729-6_4
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DOI: https://doi.org/10.1007/978-981-19-0729-6_4
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-19-0728-9
Online ISBN: 978-981-19-0729-6
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