Results 21 to 30 of about 282,533 (318)
Stable numerical results to a class of time-space fractional partial differential equations via spectral method. [PDF]
J Adv Res, 2020 Shah K, Jarad F, Abdeljawad T.
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Monte Carlo PINNs: deep learning approach for forward and inverse problems involving high dimensional fractional partial differential equations [PDF]
Computer Methods in Applied Mechanics and Engineering, 2022 We introduce a sampling based machine learning approach, Monte Carlo physics informed neural networks (MC-PINNs), for solving forward and inverse fractional partial differential equations (FPDEs).
Ling Guo, Hao Wu, Xiao-Jun Yu, Tao Zhou
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Results in Physics, 2023 This paper presents a modified version of the generalized Kudryashov method aimed at obtaining exact solutions for fractional partial differential equations of Schrödinger type.
Fushun Liu, Yuqiang Feng
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A Comparative Study of the Fractional Partial Differential Equations via Novel Transform
Symmetry, 2023 In comparison to fractional-order differential equations, integer-order differential equations generally fail to properly explain a variety of phenomena in numerous branches of science and engineering.
A. Ganie, M. Albaidani, Adnan Khan
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AIMS Mathematics, 2022 The goal of this research is to develop a novel analytic technique for obtaining the approximate and exact solutions of the Caputo time-fractional partial differential equations (PDEs) with variable coefficients.
M. Liaqat +3 more
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Fractal and Fractional, 2022 In this paper, the nonlinear system of local fractional partial differential equations is solved via local fractional Elzaki transform decomposition method.
Halil Anac
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Partial Differential Equations in Applied Mathematics, 2022 In this paper, the invariant subspace method (ISM) is developed to obtain the exact solution of linear and nonlinear time and space fractional mixed partial differential equations involving modified conformable fractional derivative (MCFD). Moreover, the
Chavda Divyesh Vinodbhai, Shruti Dubey
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A Comparative Study of Fractional Partial Differential Equations with the Help of Yang Transform
Symmetry, 2023 In applied sciences and engineering, partial differential equations (PDE) of integer and non-integer order play a crucial role. It can be challenging to determine these equations’ exact solutions.
M. Naeem +4 more
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Fractional Calculus and Time-Fractional Differential Equations: Revisit and Construction of a Theory
Mathematics, 2022 For fractional derivatives and time-fractional differential equations, we construct a framework on the basis of operator theory in fractional Sobolev spaces.
Masahiro Yamamoto
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The solutions of nonlinear fractional partial differential equations by using a novel technique
Open Physics, 2022 In this article, the solutions of higher nonlinear partial differential equations (PDEs) with the Caputo operator are presented. The fractional PDEs are modern tools to model various phenomena more accurately.
Alderremy Aisha Abdullah +6 more
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