Results 21 to 30 of about 2,923,613 (246)

The amazing fractional Maclaurin series for solving different types of fractional mathematical problems that arise in physics and engineering

open access: yesPartial Differential Equations in Applied Mathematics, 2023
Many applications and natural phenomena in the fields of physics and engineering are described by ordinary and partial differential equations. Therefore, obtaining solutions to these equations helps to analyze and understand the dynamics of these systems,
Marwan Alquran
doaj   +1 more source

Asymptotic stability of solutions of nonlinear fractional differential equations of order 1 < α < 2

open access: yes上海师范大学学报. 自然科学版, 2015
This paper is mainly concerned with the asymptotic stability of the solutions of a class of nonlinear fractional differential equations of order 1 < α < 2 in a weighted Banach space.
GE Fudong, KOU Chunhai
doaj   +1 more source

Exact solutions of conformable fractional differential equations

open access: yesResults in Physics, 2021
This article is about to formulate exact solutions of the time fractional Dodd-Bullough-Mikhailov (DBM) equation, Sinh-Gordon equation and Liouville equation by utilizing simplest equation method (SEM) in conformable fractional derivative (CFD) sense ...
Haleh Tajadodi   +5 more
doaj   +1 more source

Explicit Solutions of Singular Differential Equation by Means of Fractional Calculus Operators

open access: yesAbstract and Applied Analysis, 2013
Recently, several authors demonstrated the usefulness of fractional calculus operators in the derivation of particular solutions of a considerably large number of linear ordinary and partial differential equations of the second and higher orders.
Resat Yilmazer, Okkes Ozturk
doaj   +1 more source

Fractional Power Series Method for Solving Fractional Differential Equations

open access: yes, 2022
: Based on Jumarie type of Riemann-Liouville (R-L) fractional derivative, this paper provides some examples to illustrate how to use fractional power series to solve fractional differential equations.
Chii-Huei Yu
core   +1 more source

Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations

open access: yesFractal and Fractional
This paper is devoted to the general theory of systems of linear time-fractional differential-operator equations. The representation formulas for solutions of systems of ordinary differential equations with single (commensurate) fractional order is known
Sabir Umarov
doaj   +1 more source

A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations

open access: yesThe Scientific World Journal, 2014
We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations.
Özkan Güner, Adem C. Cevikel
doaj   +1 more source

A family of difference schemes for fourth order parabolic partial differential equations [PDF]

open access: yes, 1983
A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
core   +4 more sources

An Overview: Ordinary and Partial Differential Equations of Fractional Order on Examples in the Dynamics of Rheological Systems

open access: yesAxioms
An overview comparing ordinary and partial differential equations of fractional order, which arose as a new result of the author’s research and mathematical description of the differential constitutive relations of known and new models of fractional-type
Katica R. (Stevanović) Hedrih
doaj   +1 more source

Functional comparison of EncB and EncC cargo proteins in iron storage within the Myxococcus xanthus encapsulin

open access: yesFEBS Letters, EarlyView.
Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell   +2 more
wiley   +1 more source

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