Results 31 to 40 of about 1,534 (136)

Combination of Homotopy Perturbation Method (HPM) and Double Sumudu Transform to Solve Fractional KdV Equations

open access: yes, 2018
In this work, we developed homotopy perturbation double Sumudu transform method (HPDSTM) which is obtained by combining homotopy perturbation method, double Sumudu transform and He’s polynomials.
H. Rehman, M. Saleem, Ayesha Ahmad
semanticscholar   +1 more source

Investigation of solutions to the fractional integro-differential equations of Bratu-type using Legendre wavelets method

open access: yes, 2020
In this study, Legendre wavelets has been applied to solve the fractional integrodifferential equations of Bratu-type. In this method, Legendre wavelet operational matrix and numerical integration techniques have been used.
M. Felahat, N. Kadkhoda, Michal Feckan
semanticscholar   +1 more source

Blowup in L1(Ω)-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms

open access: yesAdvances in Nonlinear Analysis, 2023
This article is concerned with semilinear time-fractional diffusion equations with polynomial nonlinearity up{u}^{p} in a bounded domain Ω\Omega with the homogeneous Neumann boundary condition and positive initial values.
Floridia Giuseppe   +2 more
doaj   +1 more source

Fractional heat conduction in a rectangular plate with bending moments

open access: yes, 2020
In this research work, we consider a thin, simply supported rectangular plate defined as 0 x a   , 0 y b   , 0 z c   and determine the thermal stresses by using a thermal bending moment with the help of a time dependent fractional derivative.
S. Warbhe
semanticscholar   +1 more source

Ground states for fractional Schrödinger equations involving a critical nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2016
This paper is aimed to study ground states for a class of fractional Schrödinger equations involving the critical exponents:
Zhang Xia, Zhang Binlin, Xiang Mingqi
doaj   +1 more source

On Cauchy problem for fractional parabolic-elliptic Keller-Segel model

open access: yesAdvances in Nonlinear Analysis, 2022
In this paper, we concern about a modified version of the Keller-Segel model. The Keller-Segel is a system of partial differential equations used for modeling Chemotaxis in which chemical substances impact the movement of mobile species.
Nguyen Anh Tuan   +2 more
doaj   +1 more source

Numerical treatment of the generalized time-fractional Huxley-Burgers’ equation and its stability examination

open access: yesDemonstratio Mathematica, 2021
In this paper, we show how to approximate the solution to the generalized time-fractional Huxley-Burgers’ equation by a numerical method based on the cubic B-spline collocation method and the mean value theorem for integrals.
Hadhoud Adel R.   +3 more
doaj   +1 more source

A Poster about the Recent History of Fractional Calculus [PDF]

open access: yes, 2010
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development.
Kiryakova, Virginia   +2 more
core  

Transference of fractional Laplacian regularity

open access: yes, 2014
In this note we show how to obtain regularity estimates for the fractional Laplacian on the multidimensional torus $\mathbb{T}^n$ from the fractional Laplacian on $\mathbb{R}^n$.
J.E. Galé   +4 more
core   +1 more source

A Poster about the Old History of Fractional Calculus [PDF]

open access: yes, 2010
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010.
Kiryakova, Virginia   +2 more
core  

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