Results 91 to 100 of about 713,574 (373)

Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative

Journal of Function Spaces, 2022
In this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform.
Arunachalam Selvam, Sriramulu Sabarinathan, Samad Noeiaghdam, Vediyappan Govindan   +3 more
doaj   +1 more source

A Specific Method for Solving Fractional Delay Differential Equation via Fraction Taylor’s Series [PDF]

, 2022
Ming-Jing Du
openalex   +1 more source

Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions

, 2016
In this paper, the existence and uniqueness of solutions for an impulsive mixed boundary value problem of nonlinear differential equations of fractional order are obtained. Our results are based on some fixed point theorems.
Zhanbing Bai, Xiaoyu Dong, Chuntao Yin
semanticscholar   +1 more source

Analytic Solution of Linear Fractional Differential Equation with Jumarie Derivative in Term of Mittag- Leffler Function [PDF]

, 2015
There is no unified method to solve the fractional differential equation. The type of derivative here used in this paper is of Jumarie formulation, for the several differential equations studied.
U. Ghosh, Srijan Sengupta, S. Sarkar, S. Das   +3 more
semanticscholar   +1 more source

Regularization of differential equations by fractional noise

Stochastic Processes and their Applications, 2002
Existence and uniqueness of a strong solution to the differential equation \[ X_t= x + \int _0^t b(s,X_s)\,ds + B^H_t, \quad t\geq 0, \] is established, where \(B^H_t\) is a fractional Brownian motion with the Hurst parameter \(H\in (0,1)\) and \(b(s,x)\) is a bounded Borel function with at most linear growth in \(x\) (for \(H\leq 1/2\)) or Hölder ...
Nualart, David, Ouknine, Youssef
openaire   +1 more source

Glycosylated LGALS3BP is highly secreted by bladder cancer cells and represents a novel urinary disease biomarker

Molecular Oncology, EarlyView.
Urinary LGALS3BP is elevated in bladder cancer patients compared to healthy controls as detected by the 1959 antibody–based ELISA. The antibody shows enhanced reactivity to the high‐mannose glycosylated variant secreted by cancer cells treated with kifunensine (KIF).
Asia Pece, Giulio Lovato, Ilaria Cela, Arianna Mercatelli, Benedetta Ferro, Jussi Nikkola, Sara Pagotto, Tommaso Grottola, Vincenzo De Laurenzi, Rossella Cicchetti, Antonio Marchetti, Luigi Schips, Rossano Lattanzio, Stefano Iacobelli, Emily Capone, Peter Black, Mads Daugaard, Michele Marchioni, Gianluca Sala   +18 more
wiley   +1 more source

Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation

, 2009
In view of the role of reaction equations in physical problems, the authors derive the explicit solution of a fractional reaction equation of general character, that unifies and extends earlier results.
Haubold, H. J., Mathai, A. M., Saxena, R. K.   +2 more
core   +1 more source

Cytoplasmic p21 promotes stemness of colon cancer cells via activation of the NFκB pathway

Molecular Oncology, EarlyView.
Cytoplasmic p21 promotes colorectal cancer stem cell (CSC) features by destabilizing the NFκB–IκB complex, activating NFκB signaling, and upregulating BCL‐xL and COX2. In contrast to nuclear p21, cytoplasmic p21 enhances spheroid formation and stemness transcription factor CD133.
Arnatchai Maiuthed, Kerstin Huebner, Katharina Erlenbach‐Wuensch, Chuanpit Hampel, Daniela Thalheim, Adriana Vial‐Roehe, Bodee Nutho, Susanne Merkel, Arndt Hartmann, Pithi Chanvorachote, Regine Schneider‐Stock   +10 more
wiley   +1 more source

Effect of chemotherapy on passenger mutations in metastatic colorectal cancer

Molecular Oncology, EarlyView.
Changes in passenger mutation load and predicted immunotherapy response after chemotherapy treatment. Tumor cells rich with passenger mutations have increased sensitivity to chemotherapy. Correlation of passenger mutations with neoantigen load suggests highly mutated clones promote a more effective response to immunotherapy, and therefore, first‐line ...
Marium T. Siddiqui, Matthew A. Cottam, Muhammad Bilal Mirza, Keeli B. Lewis, Kristen K. Ciombor, Mary Kay Washington, Kamran Idrees   +6 more
wiley   +1 more source

( k , φ ) $(\mathtt{k},\varphi )$ -Hilfer fractional Langevin differential equation having multipoint boundary conditions

Boundary Value Problems
The primary objective of this manuscript is to investigate the existence and uniqueness of solutions for the Langevin ( k , φ ) $(\mathtt{k},\varphi )$ -Hilfer fractional differential equation of different orders with multipoint nonlocal fractional ...
HuiYan Cheng, Naila, Akbar Zada, Ioan-Lucian Popa, Afef Kallekh   +4 more
doaj   +1 more source