Results 31 to 40 of about 227,281 (268)

Certain new proportional and Hadamard proportional fractional integral inequalities

Journal of Inequalities and Applications, 2021
The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional ...
Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +2 more
doaj   +1 more source

Fractional Operators, Dirichlet Averages, and Splines

, 2013
Fractional differential and integral operators, Dirichlet averages, and splines of complex order are three seemingly distinct mathematical subject areas addressing different questions and employing different methodologies. It is the purpose of this paper
A. Kilbas, A. Pinkus, A. Shiryayev, A. Zemanian, B. Carlson, B. Carlson, B. Carlson, B. Carlson, B. Forster, B. Forster, B. Forster, B. Forster, B. Forster, B. Forster, B. Forster, C. Micchelli, D. Baleanu, E. Hille, E. Neuman, G. Anastassiou, I. Podlubny, M. Ortigueira, M. Troyanov, M. Unser, M. Unser, P. Butzer, P. Massopust, P. Massopust, P. Massopust, R. Dantry, R. Hilfer, S. Karlin, S. Samko, S. Samko, S.F. Karlin, U. Westphal, V. Zheludev, W. Dahmen   +37 more
core   +1 more source

A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration [PDF]

Signal Processing, 2015
We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fractional differentiation and fractional integration) are then developed. As particular cases, one obtains the usual time-scale Hilger derivative when the order of differentiation ...
Nadia Benkhettou, Artur M. C. Brito da Cruz, Delfim F. M. Torres   +2 more
openaire   +3 more sources

Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator

Journal of Inequalities and Applications, 2020
The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator.
Asifa Tassaddiq, Aftab Khan, Gauhar Rahman, Kottakkaran Sooppy Nisar, Moheb Saad Abouzaid, Ilyas Khan   +5 more
doaj   +1 more source

Financial Burden Associated With Hospitalisation Among Families of Childhood Brain Tumours in Australia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Families of children with cancer experience significant financial strain, even with universal healthcare. Indirect costs, such as productivity losses and non‐medical expenses, are rarely included in economic evaluations, and little is known about how effectively financial aid programmes alleviate this burden. Childhood brain tumours
Megumi Lim, Natalie Bradford, David Brain, Sameera Senanayake, Sanjeewa Kularatna, Kate Young, Christine Cashion, Tim Hassall, Susanna Cramb   +8 more
wiley   +1 more source

Feasibility and Safety of High‐Dose Proton Re‐Irradiation in Recurrent Pediatric Central Nervous System Tumors: A Single‐Institution Retrospective Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Pediatric central nervous system (CNS) tumors often recur despite multimodality therapy. Although re‐irradiation (re‐RT) has historically been limited by concerns for severe late toxicities, modern techniques have renewed interest in this approach. Proton therapy provides dosimetric advantages that may enable curative re‐treatment with
Jin‐Ho Song, Jonathan Baron, Carlos Chavez Perez, Sidharth Ramesh, Jane Minturn, Kavita A. Desai, Amish C. Shah, Jean M. Belasco, Kristina A. Cole, Michael J. Fisher, Phillip B. Storm, Peter M. Madsen, Goldie Kurtz, Robert A. Lustig, Christine Hill‐Kayser, Michael J. LaRiviere   +15 more
wiley   +1 more source

Serological Benefit of SARS‐CoV‐2 Vaccination Relative to Infection in Children With Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Children with acute lymphoblastic leukemia (ALL) are at risk of severe outcomes from SARS‐CoV‐2 (SCV2). In the post‐pandemic context, where most children have been infected with SCV2, there are limited data on whether vaccination remains beneficial in children with ALL.
Janna R. Shapiro, Freda Qi, Karen Colwill, Alina D. Dorogy, Ying Liu, Michelle Science, Anne‐Claude Gingras, James M. Rini, Sumit Gupta, Sarah Alexander, Shelly Bolotin, Tania H. Watts   +11 more
wiley   +1 more source

Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?

FEBS Letters, EarlyView.
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes, Guilherme M. Azevedo, Amanda P. Barcellos, Diana Bahia   +3 more
wiley   +1 more source

On Some Generalized Fractional Integral Inequalities for p-Convex Functions

Fractal and Fractional, 2019
In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş, Yeter Erdaş, Tekin Toplu, Erhan Set   +3 more
doaj   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source