Results 11 to 20 of about 3,658,718 (281)

Natural Transform Decomposition Method for Solving Fractional-Order Partial Differential Equations with Proportional Delay

Mathematics, 2019
In the present article, fractional-order partial differential equations with proportional delay, including generalized Burger equations with proportional delay are solved by using Natural transform decomposition method.
Rasool Shah, Hassan Khan, Poom Kumam, Muhammad Arif, Dumitru Baleanu   +4 more
doaj   +2 more sources

Fractional partial differential equations with boundary conditions

Journal of Differential Equations, 2018
We identify the stochastic processes associated with one-sided fractional partial differential equations on a bounded domain with various boundary conditions. This is essential for modelling using spatial fractional derivatives. We show well-posedness of the associated Cauchy problems in $C_0(Ω)$ and $L_1(Ω)$.
Boris Baeumer, Mihály Kovács, Harish Sankaranarayanan   +2 more
openaire   +4 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

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 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   +3 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
exaly   +2 more sources

Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]

, 1983
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
core   +7 more sources

Higher-order finite-difference methods for partial differential equations [PDF]

, 1997
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
core   +7 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