Results 81 to 90 of about 1,795,890 (245)

Minkowski’s inequality for the AB-fractional integral operator [PDF]

Journal of Inequalities and Applications, 2019
Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics. An interesting aspect is the generalization of classical inequalities via AB-fractional integral operators. In this paper, we aim to generalize Minkowski inequality
Hasib Khan, Thabet Abdeljawad, Cemil Tunç, Abdulwasea Alkhazzan, Aziz Khan   +4 more
openaire   +3 more sources

Generalized Non-Homogeneous Morrey Spaces And Olsen Inequality [PDF]

, 2008
In this paper, we shall discuss some properties of generalized non-homogeneous Morrey spaces. In addition, we will also prove the Olsen inequality in the non-homogeneous setting.
H. Gunawan, ., I. Sihwaningrum, ., Y. Soeharyadi, ., W. S. Budhi, .   +3 more
core  

Developmental programmes drive cellular plasticity, disease progression and therapy resistance in lung adenocarcinoma

Molecular Oncology, EarlyView.
This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska, Stephany Gallardo, Nur S. Zainal, Leena Arora, Matthew Ellis, Maria‐Antoinette Lopez, Judith Austine, Sai Pittla, Serena J Chee, Aiman Alzetani, Emily C Shaw, Christian H Ottensmeier, Gareth J Thomas, Christopher J Hanley   +13 more
wiley   +1 more source

Optimal control of fractional systems: a diffusive formulation [PDF]

, 2010
Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis
core  

Development of Fractional Newton-Type Inequalities Through Extended Integral Operators [PDF]

This paper introduces a new class of Newton-type inequalities (NTIs) within the framework of extended fractional integral operators. This study begins by establishing a fundamental identity for generalized fractional Riemann–Liouville (FR-L ...
Hüseyin Budak, Hyder, Abd-Allah, Barakat, Mohamed A., Almoneef, Areej A., Budak, Huseyin, Mohamed A. Barakat, Areej A. Almoneef, Abd-Allah Hyder, Özge Aktaş, Aktas, Ozge   +9 more
core   +1 more source

Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining

Molecular Oncology, EarlyView.
IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis, Jack V. Mills, Wojciech Niedzwiedz, Valentine M. Macaulay   +3 more
wiley   +1 more source

Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization

Molecular Oncology, EarlyView.
In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu, Nicolas J. Niklaus, Anna M. Schläfli, Igor Tokarchuk, Magali Humbert, Federico La Manna, Bich Vu, David Maul, Ramin Radpour, Marianna Kruithof‐de Julio, Inti Zlobec, Jörn Dengjel, Bruce E. Torbett, Mario P. Tschan   +13 more
wiley   +1 more source

A comprehensive review of the Pachpatte-type inequality pertaining to fractional integral operators [PDF]

Surveys in Mathematics and its Applications
In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Pachpatte-type inequalities involving a variety
Muhammad Tariq, Asif Ali Shaikh, Sotiris K. Ntouyas   +2 more
doaj  

Epigenetic heterogeneity and plasticity in therapy‐induced tumor states through single‐cell multi‐omics

Molecular Oncology, EarlyView.
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim, Hwiyeong Lee, Jin Hong, Daechan Park   +3 more
wiley   +1 more source

On Mikusinski's operators of fractional integration

, 1975
In the field F of convolution quotients,  b∝ is the operator of integration of fractional order ∝ and b∝ f   Is the Riemann - Liouville integral of order   ∝ of f. In this paper we give a generalization of this operator, which is denoted as b∝,va . Some particular cases are mentioned and the inverse operator is obtained.
Batting, A., Kalla, S. L.
openaire   +2 more sources