Results 1 to 10 of about 106,862 (180)

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

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

Innovative Aboodh-based gractional analytical methods for nonlinear Burgers’ partial differential equations [PDF]

Scientific Reports
This paper explores advanced analytical techniques for solving Burgers’ fractional partial differential equations (PDEs). We focus on the application of two innovative methods: the Aboodh transform iteration method (ATIM) and the Aboodh residual power ...
Naveed Iqbal, Musaad S. Aldhabani, Izatmand Haleemzai, Hasan Nihal Zaidi, Shah Hussain, Safyan Mukhtar, Wael W. Mohammed   +6 more
doaj   +2 more sources

A New Approach for Solving Fractional Partial Differential Equations [PDF]

Journal of Applied Mathematics, 2013
We propose a new approach for solving fractional partial differential equations based on a nonlinear fractional complex transformation and the general Riccati equation and apply it to solve the nonlinear time fractional biological population model and ...
Fanwei Meng
doaj   +3 more sources

A fractional characteristic method for solving fractional partial differential equations

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo–Cheng Wu
exaly   +2 more sources

Oscillation criteria for impulsive partial fractional differential equations

Computers and Mathematics With Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdur Raheem, Maqbul
exaly   +2 more sources

The modified generalized Kudryashov method for nonlinear space–time fractional partial differential equations of Schrödinger type

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

A Local Fractional Elzaki Transform Decomposition Method for the Nonlinear System of Local Fractional Partial Differential Equations

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   +1 more source

Investigation to analytic solutions of modified conformable time–space fractional mixed partial differential equations

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