Results 111 to 120 of about 6,726 (311)

General (k, p)-Riemann-Liouville fractional integrals [PDF]

The main motivation of this study is to establish a general version of the Riemann-Liouville fractional integrals with two exponential parameters k and p which is determined over the (k, p)-gamma function.
Budak, Hüseyin, Benaissa, Bouharket
core   +1 more source

Pathway to Fractional Integrals, Fractional Differential Equations, and Role of the H-Function

Axioms
In this paper, the pathway model for the real scalar variable case is re-explored and its connections to fractional integrals, solutions of fractional differential equations, Tsallis statistics and superstatistics in statistical mechanics, the reaction ...
Arak M. Mathai, Hans J. Haubold
doaj   +1 more source

Cell‐cycle‐specific lesion evolution rather than inhibition of double‐strand‐break repair underpins cisplatin radiosensitization

Molecular Oncology, EarlyView.
We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu, Xixi Lin, Emil Mladenov, Veronika Mladenova, Jürgen Thomale, Ali Sak, Yao Wang, Yunxuan Deng, Eleni Gkika, Martin Stuschke, George Iliakis   +10 more
wiley   +1 more source

A comprehensive study on Milne-type inequalities with tempered fractional integrals

Boundary Value Problems
In the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequalities, providing novel extensions to the ...
Wali Haider, Hüseyin Budak, Asia Shehzadi, Fatih Hezenci, Haibo Chen   +4 more
doaj   +1 more source

Fractional Sums and Differences with Binomial Coefficients

Discrete Dynamics in Nature and Society, 2013
In fractional calculus, there are two approaches to obtain fractional derivatives. The first approach is by iterating the integral and then defining a fractional order by using Cauchy formula to obtain Riemann fractional integrals and derivatives.
Thabet Abdeljawad, Dumitru Baleanu, Fahd Jarad, Ravi P. Agarwal   +3 more
doaj   +1 more source

Interaction of HS1BP3 with cortactin modulates TKS5 localisation, cell secretion and cancer malignancy

Molecular Oncology, EarlyView.
Here, we demonstrate that HS1BP3 interacts with Cortactin through a proline‐rich region (PRR3.1) and show that this interaction, and HS1BP3 itself, promote cancer cell proliferation and invasion. Inhibition of this interaction leads to build‐up of TKS5 in multivesicular endosomes and altered secretion of CD63 and CD9, providing an explanation for the ...
Arja Arnesen Løchen, Kristiane Søreng, Chiara Veroni, Laura Trachsel‐Moncho, Nagham Asp, Robin Gaupset, Lars Gustav Lyckander, Helene Knævelsrud, Lars Eftang, Anne Simonsen   +9 more
wiley   +1 more source

Hermite–Hadamard-Type Inequalities for Convex Functions via the Fractional Integrals with Exponential Kernel

Mathematics, 2019
In this paper, we establish three fundamental integral identities by the first- and second-order derivatives for a given function via the fractional integrals with exponential kernel.
Xia Wu, JinRong Wang, Jialu Zhang
doaj   +1 more source

ESR1 methylation and ESR1 mutations in circulating tumor cells (CTCs) and paired plasma‐cfDNA of advanced breast cancer patients: A feasibility proof‐of‐concept study

Molecular Oncology, EarlyView.
Circulating tumor cells (CTCs) and plasma cell‐free DNA (cfDNA) were analyzed to detect ESR1 mutations and methylation in patients with advanced breast cancer. CTC‐derived DNA showed higher sensitivity for mutation detection and revealed complementary genetic and epigenetic alterations, highlighting the added value of CTC analysis for understanding ...
Dimitra Stergiopoulou, Athina Markou, Eleonora Nicolo, Mara S Serafini, Qiang Zhang, Youbin Zhang, Lorenzo Gerratana, Andrew A. Davis, Huiping Liu, William J Gradishar, Carolina Reduzzi, Massimo Cristofanilli, Evi Lianidou   +12 more
wiley   +1 more source

Erdelyi-Kober fractional Integrals on Hardy space and BMO

, 2020
The mapping properties of the multi. Erdélyi- Kober fractional integral operators on Hardy space and BMO. In particular, our main result gives the boundedness of the Erdélyi-Kober fractional integrals, the hypergeometric fractional integrals and the two ...
Ho, Kwok-Pun
core   +1 more source

Proteasome inhibitor, ixazomib prevents topoisomerase‐I degradation and reverses irinotecan resistance in colorectal cancer

Molecular Oncology, EarlyView.
Ixazomib inhibits proteasome‐mediated degradation of topoisomerase I induced by irinotecan, thereby restoring drug sensitivity and promoting tumor cell death in colorectal cancer. Irinotecan, a topoisomerase I (topoI) inhibitor, is widely used for colorectal cancer, but resistance remains a major clinical challenge.
Yuho Ebata, Koji Ando, Hirofumi Hasuda, Koshi Mimori, Elizabeth C. Unan, Siddhartha Pulukuri, Aahana Tiku, Allison Berger, Eiji Oki, Ajit Bharti, Tomoharu Yoshizumi   +10 more
wiley   +1 more source