Results 71 to 80 of about 60,684 (330)

Fractional Curve Flows and Solitonic Hierarchies in Gravity and Geometric Mechanics

, 2011
Methods from the geometry of nonholonomic manifolds and Lagrange-Finsler spaces are applied in fractional calculus with Caputo derivatives and for elaborating models of fractional gravity and fractional Lagrange mechanics.
Dumitru Baleanu, Gorenflo R., Kilbas A. A., Sergiu I. Vacaru   +3 more
core   +1 more source

Analysis on nonlinear differential equation with a deviating argument via Faedo–Galerkin method

Results in Applied Mathematics
This article focuses on the impulsive fractional differential equation (FDE) of Sobolev type with a nonlocal condition. Existence and uniqueness of the approximations are determined via analytic semigroup and fixed point method.
M. Manjula, E. Thilakraj, P. Sawangtong, K. Kaliraj   +3 more
doaj   +1 more source

Fractional Solutions of Bessel Equation with -Method

The Scientific World Journal, 2013
This paper deals with the design fractional solution of Bessel equation. We obtain explicit solutions of the equation with the help of fractional calculus techniques.
Erdal Bas, Resat Yilmazer, Etibar Panakhov   +2 more
doaj   +1 more source

Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus

Fractal and Fractional, 2020
Mittag-Leffler functions and their variations are a popular topic of study at the present time, mostly due to their applications in fractional calculus and fractional differential equations.
Arran Fernandez, Iftikhar Husain
doaj   +1 more source

Estimation of generalized fractional integral operators with nonsingular function as a kernel

AIMS Mathematics, 2021
Bessel function has a significant role in fractional calculus having immense applications in physical and theoretical approach. Present work aims to introduce fractional integral operators in which generalized multi-index Bessel function as a kernel, and
Iqra Nayab, Shahid Mubeen, Rana Safdar Ali, Gauhar Rahman, Abdel-Haleem Abdel-Aty, Emad E. Mahmoud, Kottakkaran Sooppy Nisar   +6 more
doaj   +1 more source

Vacuolar transport and function of Saccharomyces cerevisiae sterol ester hydrolase Tgl1

FEBS Letters, EarlyView.
Tgl1, one of yeast sterol ester hydrolases, had been found on the lipid droplets where sterol esters are mainly stored. This study revealed that Tgl1 is transported into the vacuole depending on the ESCRT‐I–III complex, and that it exhibits intra‐vacuolar sterol ester hydrolase activity.
Takumi Nakatsuji, Kosuke Shiraishi, Chuqian Wang, Hiroya Yurimoto, Yasuyoshi Sakai, Masahide Oku   +5 more
wiley   +1 more source

Fractional Vector Calculus and Fractional Maxwell's Equations

, 2011
The theory of derivatives and integrals of non-integer order goes back to Leibniz, Liouville, Grunwald, Letnikov and Riemann. The history of fractional vector calculus (FVC) has only 10 years. The main approaches to formulate a FVC, which are used in the
Belleguie, Ben Adda, Ben Adda, Ben Adda, Ben Adda, Brandt, Chen, Cottrill-Shepherd, Engheta, Foley, Gelfand, Genchev, Hussain, Hussain, Kazbekov, Kilbas, Kiryakova, Laskin, Mashhoon, Mashhoon, Mashhoon, McBride, Meerschaert, Metzler, Metzler, Miller, Montroll, Naqvi, Naqvi, Nishimoto, Oldham, Pierantozzi, Podlubny, Ross, Rubin, Samko, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Vasily E. Tarasov, West, Zaslavsky, Zaslavsky   +55 more
core   +1 more source

Sturm-Liouville problem in multiplicative fractional calculus

AIMS Mathematics
Multiplicative calculus, or geometric calculus, is an alternative to classical calculus that relies on division and multiplication as opposed to addition and subtraction, which are the basic operations of classical calculus.
Tuba Gulsen, Sertac Goktas, Thabet Abdeljawad , Yusuf Gurefe   +3 more
doaj   +1 more source

Sets of Fractional Operators and Numerical Estimation of the Order of Convergence of a Family of Fractional Fixed-Point Methods

Fractal and Fractional, 2021
Considering the large number of fractional operators that exist, and since it does not seem that their number will stop increasing soon at the time of writing this paper, it is presented for the first time, as far as the authors know, a simple and ...
A. Torres-Hernandez, F. Brambila-Paz
doaj   +1 more source

Fractional Calculus and Shannon Wavelet [PDF]

Mathematical Problems in Engineering, 2012
An explicit analytical formula for the any order fractional derivative of Shannon wavelet is given as wavelet series based on connection coefficients. So that for any L2(ℝ) function, reconstructed by Shannon wavelets, we can easily define its fractional derivative.
openaire   +3 more sources