Existence of solutions of systems of partial differential equations of fractional order

By A. Vityuk, A. V. Golushkov. 2004

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A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions (2018, background): “[12] A. N. Vityuk, A. V. Golushkov, Existence of solutions of systems of partial differential equations of fractional order, Nonlinear Oscillations vol. 7 (2004) pp. 318–325.”
On fractional order derivatives and Darboux problem for implicit differential equations (2012, methodology): “The Darboux problem for partial hyperbolic differential equations was studied in the papers of Abbas and Benchohra [1, 2], Vityuk [26], Vityuk and Golushkov [27], Vityuk and Mykhailenko [28, 29] and by other authors.”