Results 41 to 50 of about 844,674 (258)

Some new dynamic Gronwall–Bellman–Pachpatte type inequalities with delay on time scales and certain applications

Journal of Inequalities and Applications, 2022
The main objective of the present article is to prove some new delay nonlinear dynamic inequalities of Gronwall–Bellman–Pachpatte type on time scales. We introduce very important generalized results with the help of Leibniz integral rule on time scales ...
Ahmed A. El-Deeb, Dumitru Baleanu
doaj   +1 more source

Consensus Standards and Recommendations for Developmental and Cognitive Surveillance, Screening, and Evaluation in Sickle Cell Disease: Executive Summary From the National Alliance of Sickle Cell Centers Neurocognitive Workgroup

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Neurodevelopmental and neurocognitive difficulties are prevalent among individuals with sickle cell disease and warrant prompt identification and support. This Special Report provides an executive summary of standards and recommendations for surveillance, screening, and evaluation for development and cognition across the lifespan developed by ...
Alyssa M. Schlenz, Donna Murdaugh, Andrew M. Heitzer, Jennifer N. Longoria, Wendy Santos‐Modesitt, Arianna Martin, Judy Cavazos, Jeff Schatz, Catherine R. Hoyt, Alison King, Eboni I. Lance, Steven Hardy, Marsha Treadwell   +12 more
wiley   +1 more source

Parameter-Dependent Dirac Systems on Time Scales

Cumhuriyet Science Journal, 2018
In this study, we consider two generalized Dirac systems on a time scaleand a boundary-value problem with boundary conditions depending on the spectralparameter. We give some sufficient conditions for disconjugacy of the systemsand obtain a formula about
Ahmet Sinan Özkan
doaj   +1 more source

Fractional Sobolev Space on Time Scales and Its Application to a Fractional Boundary Value Problem on Time Scales

Journal of Function Spaces, 2022
By the concept of fractional derivative of Riemann-Liouville on time scales, we first introduce fractional Sobolev spaces, characterize them, define weak fractional derivatives, and show that they coincide with the Riemann-Liouville ones on time scales ...
Xing Hu, Yongkun Li
doaj   +1 more source

Symmetric differentiation on time scales

Applied Mathematics Letters, 2013
We define a symmetric derivative on an arbitrary nonempty closed subset of the real numbers and derive some of its properties. It is shown that real-valued functions defined on time scales that are neither delta nor nabla differentiable can be symmetric differentiable.
Artur M. C. Brito da Cruz, Natália Martins, Delfim F. M. Torres   +2 more
openaire   +3 more sources

Phase Angle as an Early Functional Biomarker of Cancer‐Related Fatigue in Pediatric Oncology: A Prospective Longitudinal Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Pediatric cancer remains a leading cause of morbidity and mortality worldwide, particularly in low‐and middle‐income countries. Cancer treatment may impair nutritional status, alter body composition, and exacerbate cancer‐related fatigue (CRF).
Luís Carlos Lopes‐Junior, Luiz Claudio Barreto Silva Neto, Fabiano Kenji Haraguchi, Letícia Batista de Azevedo, Marcelo Brenner Nascimento Carlini, Raphael Manhães Pessanha, Mariana Rabello Laignier, Wesley Rocha Grippa, Tania Mara Lopes Bitti Bortolini, Gláucia Zouain‐Figueiredo, Regina Aparecida Garcia de Lima, Liliana Vasquez   +11 more
wiley   +1 more source

Proportional Epidemic Models on Time Scales

Journal of Mathematical Sciences and Modelling
In this study, some epidemic models such as SI (Susceptible-Infectious), SIR (Susceptible-Infectious-Recovered), and SIS (Susceptible-Infectious-Susceptible) have been formulated using proportional derivative on time scales, and solutions have been ...
Gülcan Tokay, Emrah Yılmaz
doaj   +1 more source

A Survey of Function Analysis and Applied Dynamic Equations on Hybrid Time Scales

Entropy, 2021
As an effective tool to unify discrete and continuous analysis, time scale calculus have been widely applied to study dynamic systems in both theoretical and practical aspects. In addition to such a classical role of unification, the dynamic equations on
Chao Wang, Ravi P. Agarwal
doaj   +1 more source

Development and Implementation of a Disease‐Targeted Storybook as a Clinical Tool for Children With Acute Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Although significant progress has been made in childhood leukemia survival, healthcare providers, and caregivers often face challenges in explaining this disease to patients. Disease‐targeted storybooks have been proposed as a tool to facilitate the understanding of diagnoses and treatment.
Nutvipha Ummartyotin, Usanarat Anurathapan, Rawiwan Roongpraiwan, Potchanee Dandamrongrak, Siriporn Nakhonchai, Pawin Numthavaj, Vilawan Chirdkiatgumchai   +6 more
wiley   +1 more source

Diamond-α Jensen's Inequality on Time Scales

Journal of Inequalities and Applications, 2008
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-α derivatives which are a linear combination of delta and nabla ...
Delfim F. M. Torres, Rui A. C. Ferreira, Moulay Rchid Sidi Ammi   +2 more
doaj   +1 more source