Existence and stability of time-fractional Keller-Segel-Navier-Stokes system with Poisson jumps. [PDF]
Divyabala K, Durga N.
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Fractional-order modelling and analytical solutions for MHD casson fluid flow in an inclined channel with heat and mass transfer. [PDF]
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A hybrid Daubechies wavelet collocation approach for a fractional-order SIR epidemic model with delay effects. [PDF]
Sarkar N, Sen M.
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A Physics Informed Neural Network (PINN) framework for fractional order modeling of Alzheimer's disease. [PDF]
Mehmood A +5 more
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Smoking dynamics with media awareness to control the prevalence of bad effect through fractional operator study. [PDF]
Farman M +5 more
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Approximations of fractional integrals and Caputo fractional derivatives
Applied Mathematics and Computation, 2006In a series of recent papers [see \textit{K. Diethelm, A. D. Freed} and \textit{N. J. Ford}, Numer. Algorithms 36, No. 1, 31--52 (2004; Zbl 1055.65098)], and the references cited therein], the reviewer and his collaborators have proposed and analysed a numerical scheme for the approximation of \(J^\alpha\), the Riemann-Liouville fractional integral of ...
Zaid Odibat
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This paper contains a variety of new integral inequalities for (s,m)-convex functions using Caputo fractional derivatives and Caputo–Fabrizio integral operators.
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Numerical study of a new time-fractional Mpox model using Caputo fractional derivatives
Physica Scripta, 2023This study examines the new time-fractional model for Mpox, utilizing Caputo fractional derivatives, specifically focusing on pregnant individuals. The fractional variational iteration method (FVIM) is used to compute a numerical solution for this model.
A. Venkatesh, M. M., B. B, Shyamsunder K
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We investigate a new class of boundary value problems of a nonlinear coupled system of sequential fractional differential equations and inclusions involving Caputo fractional derivatives and boundary conditions.
Cemil Tunc, Jehad Alzabut
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Automatic initialization of the Caputo fractional derivative
IEEE Conference on Decision and Control and European Control Conference, 2011Initialization of Riemann-Liouville and Caputo fractional derivatives remains an open research topic. These fractional derivatives are fundamentally related to fractional integration operators, so their initial conditions are the initial state vector of the associated fractional integrators.
Jean-Claude Trigeassou +2 more
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