Results 101 to 110 of about 2,668,291 (311)

SOLVABILITY FOR A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION [PDF]

Bulletin of the Australian Mathematical Society, 2009
AbstractIn this paper, we consider the existence of nontrivial solutions for the nonlinear fractional differential equation boundary-value problem (BVP)where 1<α≤2,η∈(0,1),β∈ℝ=(−∞,+∞),βηα−1≠1,Dαis the Riemann–Liouville differential operator of orderα, andf:[0,1]×ℝ→ℝ is continuous,q(t):[0,1]→[0,+∞) is Lebesgue integrable.
openaire   +2 more sources

Theorems on some families of fractional differential equations and their applications [PDF]

, 2019
summary:We use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville ...
Dernek, Neşe, Bozkurt, Gülçin, Albayrak, Durmuş   +2 more
core   +1 more source

CEACAM1 participation in breast cancer progression

Molecular Oncology, EarlyView.
In invasive breast cancer (BC), CEACAM1 shifts from an apical to a uniform membranous/cytoplasmic pattern, or is lost, as tumors dedifferentiate, inversely tracking the Ki‐67 proliferative index. In MCF‐7 cells, only CEACAM1‐4L suppresses proliferation, repressing cell cycle and growth factor genes.
Mykola Lyndin, Irina Kube‐Golovin, Anatolii Romaniuk, Gunther Wennemuth   +3 more
wiley   +1 more source

Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations

Journal of Applied Mathematics, 2013
We implement relatively analytical techniques, the homotopy perturbation method, and variational iteration method to find the approximate solutions for time and space fractional Benjamin-Bona Mahony equation. The fractional derivatives are described in
Khaled A. Gepreel, Taher A. Nofal, Fawziah M. Alotaibi   +2 more
doaj   +1 more source

Fractional Ulam-stability of fractional impulsive differential equation involving Hilfer-Katugampola fractional differential operator

Universal Journal of Mathematics and Applications, 2018
In this note, we set up existence, uniqueness as well as the stability of a special class of fractional differential equation (FDE) with Hilfer-Katugampola fractional differential operator (HKFDO). The outcomes are given by employing the Schaefer's fixed
Rabha Ibrahim, S. Harikrishnan, K. Kanagarajan   +2 more
doaj   +1 more source

On a differential equation with Caputo-Fabrizio fractional derivative of order 1< β ≤ 2 and application to mass-spring-damper system

, 2016
In this work, we investigate a linear differential equation involving Caputo-Fabrizio fractional derivative of order 1 < b ≤ 2. Under some assumptions the considered equation is reduced to an integer order differential equation and solutions for ...
Sadarangani, Kishin, Al-Salti, Nasser, Karimov, Erkinjon   +2 more
core   +1 more source

Attractivity for differential equations of fractional order and ψ-Hilfer type

, 2021
This paper investigates the overall solution attractivity of the fractional differential equation involving the ψ-Hilfer fractional derivative and using the Krasnoselskii’s fixed point theorem.
Sousa, J. Vanterler da C., Benchohra, Mouffak, N’Guérékata, Gaston M.   +2 more
core   +1 more source

Gut microbiota alterations in patients with non‐small‐cell lung cancer undergoing chemoradiotherapy

Molecular Oncology, EarlyView.
We investigated the impact of concurrent chemoradiotherapy (CRT) on the gut microbiota in patients with locally advanced non‐small‐cell lung cancer. Overall gut microbiota composition remained largely stable throughout CRT while antibiotic exposure may influence microbial diversity.
Hanne Marte Nymoen, Zhi Zhao, Henrik Horndalsveen, Maria Moksnes Bjaanæs, Bjørn Henning Grønberg, Tarje Halvorsen, Tesfaye Madebo, Marianne Aanerud, Jussi Koivunen, Kersti Oselin, Saulius Cicenas, Nina Helbekkmo, Jarkko Ahvonen, Maria Silvoniemi, Tine Norman Alver, Tonje Dalen, Åsa Kristina Öjlert, Saima Jamil Farooqi, Åslaug Helland, Vilde Drageset Haakensen   +19 more
wiley   +1 more source

Formulation and Solution of Space-Time Fractional KdV-Burgers Equation

, 2013
The space-time fractional KdV-Burgers equation has been derived using the semi-inverse method and Agrawal’s variational method. The modified Riemann-Liouville definition is used for the fractional differential operators.
Abulwafa Essam M.
core  

Regulation of the lncRNA NEAT1 by p53‐ΔNp63 crosstalk modulates the DNA damage response and therapeutic efficacy in HNSCC

Molecular Oncology, EarlyView.
In head and neck squamous cell carcinoma (HNSCC) p53 and p63 exert opposite roles on the transcription regulation of the lncRNA NEAT1. Under basal conditions, p53 levels are low and p63 represses NEAT1 expression. Upon genotoxic stress, p53 is rapidly induced, displacing p63 from the NEAT1 promoter leading to NEAT1 transcriptional activation and ...
Sara De Domenico, Veronica La Banca, Silvia D'Amico, Stefano Scalera, Sara Nicolai, Angelo Peschiaroli   +5 more
wiley   +1 more source