Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative.
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DOI: 10.1063/1.5079644
Abstract: In this paper, taking fractional derivative due to Caputo and Fabrizo, we have investigated a biological model of smoking type. By using Sumudu transform and Picard successive iterative technique, we develop the iterative solutions for… read more here.
Keywords: caputo; numerical solutions; fractional derivative; model ... See more keywords
Existence theory and numerical simulation of HIV-I cure model with new fractional derivative possessing a non-singular kernel
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DOI: 10.1186/s13662-019-2336-5
Abstract: In this research work, a mathematical model related to HIV-I cure infection therapy consisting of three populations is investigated from the fractional calculus viewpoint. Fractional version of the model under consideration has been proposed. The… read more here.
Keywords: fractional order; hiv cure; model; existence theory ... See more keywords
Hypersingular Integral Equations of Prandtl's Type: Theory, Numerical Methods, and Applications
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DOI: 10.3390/axioms11120705
Abstract: In this paper, we propose and justify a spline-collocation method with first-order splines for approximate solution of nonlinear hypersingular integral equations of Prandtl’s type. We obtained the estimates of the convergence rate and the method… read more here.
Keywords: hypersingular integral; type theory; equations prandtl; prandtl type ... See more keywords