Results 71 to 80 of about 1,816,969 (371)

Calculus of Variations with Classical and Fractional Derivatives [PDF]

, 2012
We give a proper fractional extension of the classical calculus of variations. Necessary optimality conditions of Euler-Lagrange type for variational problems containing both classical and fractional derivatives are proved. The fundamental problem of the
Odzijewicz, Tatiana, Torres, Delfim F. M.   +1 more
core   +1 more source

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

Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?

FEBS Letters, EarlyView.
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes, Guilherme M. Azevedo, Amanda P. Barcellos, Diana Bahia   +3 more
wiley   +1 more source

Analysis of Drude model using fractional derivatives without singular kernels

Open Physics, 2017
We report study exploring the fractional Drude model in the time domain, using fractional derivatives without singular kernels, Caputo-Fabrizio (CF), and fractional derivatives with a stretched Mittag-Leffler function.
Jiménez Leonardo Martínez, García J. Juan Rosales, Contreras Abraham Ortega, Baleanu Dumitru   +3 more
doaj   +1 more source

Two Integral Representations for the Relaxation Modulus of the Generalized Fractional Zener Model

Fractal and Fractional, 2023
A class of generalized fractional Zener-type viscoelastic models with general fractional derivatives is considered. Two integral representations are derived for the corresponding relaxation modulus. The first representation is established by applying the
Emilia Bazhlekova, Sergey Pshenichnov
doaj   +1 more source

Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions

, 2011
Using the Mellin transform approach, it is shown that, in contrast with integer-order derivatives, the fractional-order derivative of a periodic function cannot be a function with the same period.
Kaslik, Eva, Sivasundaram, Seenith
core   +1 more source

The Caenorhabditis elegans DPF‐3 and human DPP4 have tripeptidyl peptidase activity

FEBS Letters, EarlyView.
The dipeptidyl peptidase IV (DPPIV) family comprises serine proteases classically defined by their ability to remove dipeptides from the N‐termini of substrates, a feature that gave the family its name. Here, we report the discovery of a previously unrecognized tripeptidyl peptidase activity in DPPIV family members from two different species.
Aditya Trivedi, Rajani Kanth Gudipati
wiley   +1 more source

An efficient discrete Chebyshev polynomials strategy for tempered time fractional nonlinear Schrödinger problems

Journal of Advanced Research
Introduction: An interesting type of fractional derivatives that has received widespread attention in recent years is the tempered fractional derivatives. These fractional derivatives are a generalization of the well-known fractional derivatives, such as
Mohammad Hossein Heydari, Dumitru Baleanu   +1 more
doaj   +1 more source

Evaluation of Fractional Integrals and Derivatives of Elementary Functions: Overview and Tutorial

Mathematics, 2019
Several fractional-order operators are available and an in-depth knowledge of the selected operator is necessary for the evaluation of fractional integrals and derivatives of even simple functions.
Roberto Garrappa, Eva Kaslik, Marina Popolizio   +2 more
doaj   +1 more source

Fractional Generalization of Gradient Systems

, 2005
We consider a fractional generalization of gradient systems. We use differential forms and exterior derivatives of fractional orders. Examples of fractional gradient systems are considered.
B. A. Dubrovin, C. Sparrow, E. N. Lorenz, G. M. Zaslavsky, I. Podlubny, K. B. Oldham, K. Cottrill-Shepherd, M. Caputo, M. Caputo, M. Hirsh, O. E. Rossler, R. Gilmor, R. Gorenflo, R. Nigmatullin, S. G. Samko, V. E. Tarasov, V. E. Tarasov, V. E. Tarasov, V. E. Tarasov, V. E. Tarasov, V. E. Tarasov, V. E. Tarasov, V. E. Tarasov, Vasily E. Tarasov   +23 more
core   +2 more sources