Results 31 to 40 of about 282,533 (318)

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

Applications on Double ARA-Sumudu Transform in Solving Fractional Partial Differential Equations

Symmetry, 2022
In this article, we apply the double ARA–Sumudu transformation (DARA-ST) to the nonlocal fractional Caputo derivative operator. We achieve interesting results and implement them to solve certain classes of fractional partial differential equations (FPDEs)
Ahmad Mohammad Qazza, Aliaa Burqan, Rania Saadeh, Raed Khalil   +3 more
semanticscholar   +1 more source

Solving fractional partial differential equations via a new scheme

AIMS Mathematics, 2022
In this paper, we introduce a new technique, called the direct power series method to solve several types of time-fractional partial differential equations and systems, in terms of the Caputo derivative. We illustrate the method with a simple algorithm
Ahmad Mohammad Qazza, Rania Saadeh, E. Salah   +2 more
semanticscholar   +1 more source

Large Fractional Linear Type Differential Equations

International Journal of Analysis and Applications, 2023
This paper aims to handle some types of fractional differential equations with a fractional-order values β>1. In particular, we propose a novel analytical solution called an atomic solution for certain fractional linear type differential equations as ...
Ma'mon Abu Hammad, Iqbal Jebril, Roshdi Khalil   +2 more
doaj   +1 more source

A Vector Series Solution for a Class of Hyperbolic System of Caputo Time-Fractional Partial Differential Equations With Variable Coefficients

Frontiers of Physics, 2021
In this paper, we introduce a series solution to a class of hyperbolic system of time-fractional partial differential equations with variable coefficients. The fractional derivative has been considered by the concept of Caputo.
Ahmad El-Ajou, Z. Al-Zhour
semanticscholar   +1 more source

Solving Nonlinear Fractional Partial Differential Equations Using the Elzaki Transform Method and the Homotopy Perturbation Method

Abstract and Applied Analysis, 2022
In this paper, we combine the Elzaki transform method (ETM) with the new homotopy perturbation method (NHPM) for the first time. This hybrid approach can solve initial value problems numerically and analytically, such as nonlinear fractional differential
Mohamed Z. Mohamed, Mohammed Yousif, Amjad E. Hamza   +2 more
semanticscholar   +1 more source

Application of the Aboodh Transform for Solving Fractional Delay Differential Equations

Universal Journal of Mathematics and Applications, 2020
In this article, we extend the concept of the Aboodh transform to the solution of partial differential equations of fractional order using Caputo's fractional derivative.
Kacem Belghaba, Mohamed Elarbı Benattıa   +1 more
doaj   +1 more source

Novel Analytical Technique to Find Closed Form Solutions of Time Fractional Partial Differential Equations

Fractal and Fractional, 2022
In this article, a new method for obtaining closed-form solutions of the simplified modified Camassa-Holm (MCH) equation, a nonlinear fractional partial differential equation, is suggested.
M. Shakeel, Nehad Ali Shah, J. Chung
semanticscholar   +1 more source

A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM

Advances in Difference Equations, 2017
We propose a new method called the fractional reduced differential transform method (FRDTM) to solve nonlinear fractional partial differential equations such as the space-time fractional Burgers equations and the time-fractional Cahn-Allen equation.
Mahmoud S Rawashdeh
doaj   +1 more source

Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]

, 2019
In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative.
Iskenderoglu, Gulistan, Kaya, Dogan
core   +2 more sources