Results 61 to 70 of about 697,977 (380)

The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity

, 2018
In this paper, we focus on the convergence analysis and error estimation for the unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity.
Jing Wu, Xinguang Zhang, Lishan Liu, Yonghong Wu, Yujun Cui   +4 more
semanticscholar   +1 more source

On the oscillation of fractional differential equations

Fractional Calculus and Applied Analysis, 2012
In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form $$D_a^q x + f_1 (t,x) = v(t) + f_2 (t,x),\mathop {\lim }\limits_{t \to a} J_a^{1 - q} x(t) = b_1 $$ , where Daq denotes the Riemann-Liouville differential
Grace, Said R., Agarwal, Ravi P., Wong, Patricia Jia Yiing, Zafer, Ağacık   +3 more
openaire   +3 more sources

Fractional Complex Transform for Fractional Differential Equations [PDF]

Mathematical and Computational Applications, 2010
Fractional complex transform is proposed to convert fractional differential equations into ordinary differential equations, so that all analytical methods devoted to advanced calculus can be easily applied to fractional calculus. Two examples are given.
Zheng-Biao Li, Ji-Huan He
openaire   +1 more source

Lie group classifications and exact solutions for time-fractional Burgers equation

, 2010
Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations.
A.B. Malinowska, G. Jmnarie, G.C. Wu, G.C. Wu, G.C. Wu, G.W. Bluman, Guo-Cheng Wu, P.J. Olver, R.K. Gazizov, Z.G. Deng   +9 more
core   +1 more source

Linear fractional differential equations and eigenfunctions of fractional differential operators [PDF]

Computational and Applied Mathematics, 2016
Eigenfunctions associated with Riemann–Liouville and Caputo fractional differential operators are obtained by imposing a restriction on the fractional derivative parameter. Those eigenfunctions can be used to express the analytical solution of some linear sequential fractional differential equations.
Eliana Contharteze Grigoletto, Edmundo Capelas de Oliveira, Rubens de Figueiredo Camargo   +2 more
openaire   +4 more sources

Aβ42 promotes the aggregation of α‐synuclein splice isoforms via heterogeneous nucleation

FEBS Letters, EarlyView.
The aggregation of amyloid‐β (Aβ) and α‐synuclein (αSyn) is associated with Alzheimer's and Parkinson's diseases. This study reveals that Aβ aggregates serve as potent nucleation sites for the aggregation of αSyn and its splice isoforms, shedding light on the intricate interplay between these two pathogenic proteins.
Alexander Röntgen, Zenon Toprakcioglu, Michele Vendruscolo   +2 more
wiley   +1 more source

The Extended Trial Equation Method for Some Time Fractional Differential Equations

Discrete Dynamics in Nature and Society, 2013
Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir, Yusuf Gurefe, Emine Misirli   +2 more
doaj   +1 more source

General Connectivity Distribution Functions for Growing Networks with Preferential Attachment of Fractional Power

, 2007
We study the general connectivity distribution functions for growing networks with preferential attachment of fractional power, $\Pi_{i} \propto k^{\alpha}$, using the Simon's method.
Barabási A.-L., Boas R. P., Hiroaki S. Yamada, Kazumoto Iguchi, Podlubny I.   +4 more
core   +1 more source

Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives

Boundary Value Problems, 2018
In this article, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, some properties of the first eigenvalue of a fractional differential equation are obtained. Based on these properties and through the fixed point index
Xiaoqian Liu, Lishan Liu, Yonghong Wu
semanticscholar   +1 more source

Initial boundary value problems for a fractional differential equation with hyper-Bessel operator [PDF]

, 2016
Direct and inverse source problems of a fractional diffusion equation with regularized Caputo-like counterpart of a hyper-Bessel differential operator are considered.
F. Al-Musalhi, N. Al-Salti, E. Karimov
semanticscholar   +1 more source