Results 41 to 50 of about 42,207 (315)

Lyapunov-type inequalities for fractional differential equations: a survey [PDF]

Surveys in Mathematics and its Applications, 2021
A survey of results on Lyapunov-type inequalities for fractional differential equations associated with a variety of boundary conditions is presented.
Sotiris K. Ntouyas, Bashir Ahmad
doaj  

FRACTIONAL CENTRAL DIFFERENCES AND DERIVATIVES [PDF]

IFAC Proceedings Volumes, 2006
Fractional central differences and derivatives are studied in this article. These are generalisations to real orders of the ordinary positive (even and odd) integer order differences and derivatives, and also coincide with the well known Riesz potentials.
openaire   +2 more sources

A New Mixed Fractional Derivative with Applications in Computational Biology

Computation
This study develops a new definition of a fractional derivative that mixes the definitions of fractional derivatives with singular and non-singular kernels.
Khalid Hattaf
doaj   +1 more source

Inequalities for Riemann–Liouville-Type Fractional Derivatives of Convex Lyapunov Functions and Applications to Stability Theory

Mathematics, 2023
In recent years, various qualitative investigations of the properties of differential equations with different types of generalizations of Riemann–Liouville fractional derivatives were studied and stability properties were investigated, usually using ...
Ravi P. Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
doaj   +1 more source

Results of the Childhood Cancer and Leukaemia Group's United Kingdom Relapsed Wilms Tumour Trial

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The United Kingdom relapsed Wilms tumour (UKW‐R) trial aimed to improve the historically low survival rates after relapse of Wilms tumour (WT) through a prospective national risk‐stratified protocol. The trial also evaluated efficacy and toxicity of high‐dose melphalan.
Sucheta J. Vaidya, Veronica Moroz, Juliet Hale, Vesna Pavasovic, Rachel Hobson, Patricia Sartori, Daniel Saunders, Mark Powis, Gordan M. Vujanic, Stephen Baker, Kathy Pritchard‐Jones   +10 more
wiley   +1 more source

On Fractional and Fractal Derivatives in Relation to the Physics of Fractals

Recoletos Multidisciplinary Research Journal, 2013
Fractional and fractal derivatives are both generalizations of the usual derivatives that consider derivatives of non-integer orders. Interest in these generalizations has been triggered by a resurgence of clamor to develop a mathematical tool to ...
Roberto N. Padua, Miraluna L. Herrera, Adriano V. Patac Jr., Michael V. Sabugaa, Gibson T. Maglasang, Mark S. Borres, Jay M. Ontolan   +6 more
doaj   +1 more source

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen, Calogero Virgone, Antje Redlich, Michael Abele, Ricardo Lopez‐Almaraz, Tal Ben‐Ami, Ewa Bien, Gianni Bisogno, Maja Mazic Cesen, Andrea Ferrari, Malgorzata A. Krawczyk, Yves Reguerre, Dominik T. Schneider, Ines B. Brecht, Charlotte Rigaud, Bilgehan Yalcin, Rainer Claus, Christian Vokuhl, Constantin Lapa, Jörg Fuchs, Segolene Hescot, Thomas Walter, Julien Hadoux, Daniel Orbach   +23 more
wiley   +1 more source

Fractional Calculus and Time-Fractional Differential Equations: Revisit and Construction of a Theory

Mathematics, 2022
For fractional derivatives and time-fractional differential equations, we construct a framework on the basis of operator theory in fractional Sobolev spaces.
Masahiro Yamamoto
doaj   +1 more source

Evaluation of the Utility of Baseline Echocardiogram in Patients With Standard Risk Precursor B‐Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
Abstract Background A routine baseline echocardiogram is often obtained prior to anthracycline administration in children with cancer. The utility of baseline echocardiogram is unclear in patients with standard risk B‐cell acute lymphoblastic leukemia (SR B‐ALL) as their anthracycline cumulative dose is low.
Ziyad Alrajhi, Alice Pozza, Luc Mertens, Adam Paul Yan, Sarah Alexander   +4 more
wiley   +1 more source

Wirtinger-type inequalities for Caputo fractional derivatives via Taylor’s formula

Journal of Inequalities and Applications
In this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided fractional ...
Samet Erden, Mehmet Zeki Sarıkaya, Burçin Gokkurt Ozdemir, Neslihan Uyanık   +3 more
doaj   +1 more source