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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
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

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, Khan Hassan, Khan Qasim, Kumam Poom, Aly Shaban, Ahmad Said, Sitthithakerngkiet Kanokwan   +6 more
doaj   +1 more source

Parameter Estimation for Several Types of Linear Partial Differential Equations Based on Gaussian Processes

Fractal and Fractional, 2022
This paper mainly considers the parameter estimation problem for several types of differential equations controlled by linear operators, which may be partial differential, integro-differential and fractional order operators. Under the idea of data-driven
Wenbo Zhang, Wei Gu
doaj   +1 more source