Results 101 to 110 of about 697,977 (380)

Stability of the fractional Volterra integro‐differential equation by means of ψ‐Hilfer operator [PDF]

Mathematical methods in the applied sciences, 2018
In this paper, using the Riemann‐Liouville fractional integral with respect to another function and the ψ−Hilfer fractional derivative, we propose a fractional Volterra integral equation and the fractional Volterra integro‐differential equation.
J. Sousa, F. G. Rodrigues, E. Capelas de Oliveira   +2 more
semanticscholar   +1 more source

On the fractional differential equations with not instantaneous impulses

Open Physics, 2016
AbstractBased on some previous works, an equivalent equations is obtained for the differential equations of fractional-orderq∈(1, 2) with non-instantaneous impulses, which shows that there exists the general solution for this impulsive fractional-order systems. Next, an example is used to illustrate the conclusion.
Zhang, Xianmin, Agarwal, Praveen, Liu, Zuohua, Zhang, Xianzhen, Ding, Wenbin, Ciancio, Armando   +5 more
openaire   +5 more sources

Chemoresistome mapping in individual breast cancer patients unravels diversity in dynamic transcriptional adaptation

Molecular Oncology, EarlyView.
This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani, Gilgi Friedlander, Gili Perry, Nora Balint‐Lahat, Shlomit Gilad, Dana Morzaev‐Sulzbach, Anjana Shenoy, Noa Bossel Ben‐Moshe, Anya Pavlovsky, Rinat Bernstein‐Molho, Eytan Domany, Iris Barshack, Tamar Geiger, Bella Kaufman, Einav Nili Gal‐Yam   +14 more
wiley   +1 more source

Lie symmetry analysis, conservation laws and exact solutions of the seventh-order time fractional Sawada–Kotera–Ito equation

Results in Physics, 2016
In this paper Lie symmetry analysis of the seventh-order time fractional Sawada–Kotera–Ito (FSKI) equation with Riemann–Liouville derivative is performed.
Emrullah Yaşar, Yakup Yıldırım, Chaudry Masood Khalique   +2 more
doaj   +1 more source

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

On the Existence and Stability of Variable Order Caputo Type Fractional Differential Equations

Fractal and Fractional, 2022
In the theory of differential equations, the study of existence and the uniqueness of the solutions are important. In the last few decades, many researchers have had a keen interest in finding the existence–uniqueness solution of constant fractional ...
Shahzad Sarwar
doaj   +1 more source

Neural fractional differential equations

Applied Mathematical Modelling
Fractional Differential Equations (FDEs) are essential tools for modelling complex systems in science and engineering. They extend the traditional concepts of differentiation and integration to non-integer orders, enabling a more precise representation of processes characterised by non-local and memory-dependent behaviours.
C. Coelho, M. Fernanda P. Costa, L.L. Ferrás   +2 more
openaire   +2 more sources

Determination of ADP/ATP translocase isoform ratios in malignancy and cellular senescence

Molecular Oncology, EarlyView.
The individual functions of three isoforms exchanging ADP and ATP (ADP/ATP translocases; ANTs) on the mitochondrial membrane remain unclear. We developed a method for quantitatively differentiating highly similar human ANT1, ANT2, and ANT3 using parallel reaction monitoring. This method allowed us to assess changes in translocase levels during cellular
Zuzana Liblova, Dominika Maurencova, Barbora Salovska, Marek Kratky, Tomas Mracek, Zuzana Korandova, Alena Pecinova, Pavla Vasicova, David Rysanek, Ladislav Andera, Ivo Fabrik, Rudolf Kupcik, Pavel Kashmel, Pinky Sultana, Vojtech Tambor, Jiri Bartek, Josef Novak, Marie Vajrychova, Zdenek Hodny   +18 more
wiley   +1 more source

SEPARABLE LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS [PDF]

Fractals, 2016
The concept of local fractional derivative was introduced in order to be able to study the local scaling behavior of functions. However it has turned out to be much more useful. It was found that simple equations involving these operators naturally incorporate the fractal sets into the equations.
openaire   +3 more sources

Systematic profiling of cancer‐fibroblast interactions reveals drug combinations in ovarian cancer

Molecular Oncology, EarlyView.
Fibroblasts, cells in the tumor environment, support ovarian cancer cell growth and alter morphology and drug response. We used fibroblast and cancer cell co‐culture models to test 528 drugs and discovered new drugs for combination treatment. We showed that adding Vorinostat or Birinapant to standard chemotherapy may improve drug response, suggesting ...
Greta Gudoityte, Osheen Sharma, Laura Leuenberger, Emelie Wallin, Josefin Fernebro, Päivi Östling, Rebecka Bergström, Johan Lindberg, Ulrika Joneborg, Olli Kallioniemi, Brinton Seashore‐Ludlow   +10 more
wiley   +1 more source