This article studies the existence and uniqueness of a weak solution of the time-fractional cancer invasion system with nonlocal diffusion operator. Existence and uniqueness results are ensured by adapting the Faedo-Galerkin method and some a priori estimates. Further, finite element numerical scheme is implemented for the considered system. Finally, various numerical computations are performed along with the convergence analysis of the scheme.

Sorriso-Valvo, L., De Vita, G., Fraternale, F., Gurchumelia, A., Perri, S., Nigro, G., et al. (2019). Sign singularity of the local energy transfer in space plasma turbulence. FRONTIERS IN PHYSICS, 7(JULY) [10.3389/fphy.2019.00108].

Sign singularity of the local energy transfer in space plasma turbulence

De Vita, G.;Nigro, G.;
2019-01-01

Abstract

This article studies the existence and uniqueness of a weak solution of the time-fractional cancer invasion system with nonlocal diffusion operator. Existence and uniqueness results are ensured by adapting the Faedo-Galerkin method and some a priori estimates. Further, finite element numerical scheme is implemented for the considered system. Finally, various numerical computations are performed along with the convergence analysis of the scheme.
2019
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore FIS/05
English
Con Impact Factor ISI
cancer invasion dynamic system
fractional differential equations
reaction-diffusion system
weak solution
numerical solution
Sorriso-Valvo, L., De Vita, G., Fraternale, F., Gurchumelia, A., Perri, S., Nigro, G., et al. (2019). Sign singularity of the local energy transfer in space plasma turbulence. FRONTIERS IN PHYSICS, 7(JULY) [10.3389/fphy.2019.00108].
Sorriso-Valvo, L; De Vita, G; Fraternale, F; Gurchumelia, A; Perri, S; Nigro, G; Catapano, F; Retin(\`o), A; Chen, Ch; Yordanova, E; Pezzi, O; Chargaz...espandi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/364809
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