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This paper presents an approximate direct method for solving a class of fractional optimal control problems by combining the epsilon and Ritz methods and utilizing multiscaling basis functions.
We have introduced a new explicit numerical method, based on a discrete stochastic process, for solving a class of fractional partial differential equations that model reaction subdiffusion.
Combining order reduction approach and L1 discretization, a box-type scheme is presented for solving a class of fractional sub-diffusion equation with Neumann boundary conditions.
Zhao and Sun [24] proposed a box-type scheme for solving a class of fractional sub-diffusion equations with Neumann boundary conditions.
This article proposes a new approximation algorithm for solving a class of fractional programming problems (P) without the assumptions on quasi-concavity or low-rank.
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Xiao (2010) presented a neural network method for solving a class of linear fractional optimization problems with linear equality constraints.
Section "Description of the proposed method", as the main section, is devoted applying the operational matrices for solving a class of VO fractional PDEs.
This algorithm was employed for solving a class of variable-order fractional differential equations.
In this paper, motivated by previous research on the existence of weak solutions (or positive solutions) of fractional-order differential equations, our main aim is to develop the Schauder fixed point theorem and the Arzelà-Ascoli compactness theorem for solving a class of time-space fractional initial-boundary value problems with superdiffusion terms.
In this paper, we propose practical numerical methods for solving a class of initial-boundary value problems of space-time fractional advection-diffusion equations.
This paper uses new fractional integration operational matrices to solve a class of fractional neutral pantograph delay differential equations.
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