Implicit Riesz wavelets based-method for solving singular fractional integro-differential equations with applications to hematopoietic stem cell modeling

Mutaz Mohammad and Alexander Trounev

Chaos, Solitons & Fractals, 2020, vol. 138, issue C

Abstract: Riesz wavelets in L2(R) have been proven as a useful tool in the context of both pure and numerical analysis in many applications, due to their well prevailing and recognized theory and its natural properties such as sparsity and stability which lead to a well-conditioned scheme. In this paper, an effective and accurate technique based on Riesz wavelets is presented for solving weakly singular type of fractional order integro-differential equations with applications to solve system of fractional order model that describe the dynamics of uninfected, infected and free virus carried out by cytotoxic T lymphocytes (CTL).

Keywords: Fractional differential equations; Integro-differential equations; Riesz wavelets; Smoothed pseudo-splines; Numerical modeling; Hematopoietic stem cells (HSC) (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920303908

DOI: 10.1016/j.chaos.2020.109991

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