Results 1 to 10 of about 261,053 (323)
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
doaj +2 more sources
Fourier Spectral Methods for Some Linear Stochastic Space-Fractional Partial Differential Equations [PDF]
Mathematics, 2016 Fourier spectral methods for solving some linear stochastic space-fractional partial differential equations perturbed by space-time white noises in the one-dimensional case are introduced and analysed.
Yanmei Liu, Monzorul Khan, Yubin Yan
doaj +4 more sources
Fractional time stochastic partial differential equations [PDF]
Stochastic Processes and their Applications, 2014 In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the $L_2$-theory of the equations.
Chen, Zhen-Qing +2 more
core +3 more sources
Multigrid Methods for Space Fractional Partial Differential Equations [PDF]
Journal of Computational Physics, 2015 We propose some multigrid methods for solving the algebraic systems resulting from finite element approximations of space fractional partial differential equations (SFPDEs).
Jiang, Yingjun, Xu, Xuejun
core +3 more sources
Exp-function method for solving fractional partial differential equations. [PDF]
ScientificWorldJournal, 2013 We extend the Exp‐function method to fractional partial differential equations in the sense of modified Riemann‐Liouville derivative based on nonlinear fractional complex transformation. For illustrating the validity of this method, we apply it to the space‐time fractional Fokas equation and the nonlinear fractional Sharma‐Tasso‐Olver (STO) equation ...
Zheng B.
europepmc +5 more sources
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
doaj +1 more source
Numerical analysis of some partial differential equations with fractal-fractional derivative
AIMS Mathematics, 2023 In this study, we expanded the partial differential equation framework to which fractal-fractional differentiation can be applied. For this, we employed the generalized Mittag-Leffler function, and the fractal-fractional derivatives based on the power ...
Nadiyah Hussain Alharthi +2 more
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source