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Fuzzy computational study on the generalized fractional smoking model with caputo gH-type derivatives

International Journal of Biomathematics 2024年第4期17卷 151-194页

作者： lalchand verma Ramakanta Mehert Department of Mathematics&Humanities S.V.National Institute of Technology Surat-395007India

This work considers a generalized fuzzy fractional smoking model with Caputo gHtypes fractional derivatives upon considering the case of uncertainty *** disease-free equilibrium point and stability of the equilibrium point have been discussed for the fuzzy nonlinear fractional smoking *** analytical proofs for the existence and uniqueness of the proposed model are concerned with the help of the fixed-point theorem,Banach contraction,and Schauder theorem.A robust double parametric approach with a generalized transform is used to study the behavior of the fuzzy fractional model in an uncertain context and obtain the convergence analysis of the study in a crisp ***,the obtained results of the proposed model have been validated with the Runge-Kutta method of fourth order in crisp case(s=1,l=O).

关键词： Caputo fractional derivative triangular fuzzy number smoking model q-HAShTM convergence analysis

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Numerical investigation on MHD Jeffery-Hamel nanofluid flow with different nanoparticles using fuzzy extension of generalized dual parametric homotopy algorithm

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Journal of Central South University 2024年第6期31卷 1915-1930页

作者： lalchand verma RAMAKANTA Meher Department of Mathematics Sardar Vallabhbhai National Institute of TechnologySurat-395007GujratIndia

This study considers an MHD Jeffery-Hamel nanofluid flow with distinct nanoparticles such as copper,Al_(2)O_(3)and SiO_(2)between two rigid non-parallel plane walls with the fuzzy extension of the generalized dual parametric homotopy *** nanofluids have been formulated to enhance the thermophysical characteristics of fluids,including thermal diffusivity,conductivity,convective heat transfer coefficients and *** to the presence of distinct nanofluids,a change in the value of volume fraction occurs that influences the velocity profiles of the *** short value of nanoparticles volume fraction is considered an uncertain parameter and represented in a triangular fuzzy number range among[0.0,0.1,0.2].A novel generalized dual parametric homotopy algorithm with fuzzy extension is used here to study the fuzzy velocities at various channel ***,the effectiveness of the proposed approach has been demonstrated through a comparison with the available results in the crisp case.

关键词： fuzzy number Jeffery-Hamel(J-H)flow nanofluid homotopy analysis method

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